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Finding the Third Proportional to 211,158.56 and 455,535.56

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Solution

The third proportional to 211,158.56 and 455,535.56 is: 982,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,158.56 : 455,535.56 = 455,535.56 : x
  2. Step 2: Convert to fraction form
    211,158.56/455,535.56 = 455,535.56/x
  3. Step 3: Cross multiply
    211,158.56x = 455,535.56 × 455,535.56
  4. Step 4: Simplify right side
    211,158.56x = 207,512,648,702.19
  5. Step 5: Solve for x
    x = 207,512,648,702.19/211,158.56
  6. Step 6: Final answer
    x = 982,733.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.