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Finding the Third Proportional to 237,893.63 and 535,671.56

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Solution

The third proportional to 237,893.63 and 535,671.56 is: 1,206,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,893.63 : 535,671.56 = 535,671.56 : x
  2. Step 2: Convert to fraction form
    237,893.63/535,671.56 = 535,671.56/x
  3. Step 3: Cross multiply
    237,893.63x = 535,671.56 × 535,671.56
  4. Step 4: Simplify right side
    237,893.63x = 286,944,022,871.19
  5. Step 5: Solve for x
    x = 286,944,022,871.19/237,893.63
  6. Step 6: Final answer
    x = 1,206,186.26

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.