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Finding the Third Proportional to 174,890.81 and 256,577.63

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Solution

The third proportional to 174,890.81 and 256,577.63 is: 376,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,890.81 : 256,577.63 = 256,577.63 : x
  2. Step 2: Convert to fraction form
    174,890.81/256,577.63 = 256,577.63/x
  3. Step 3: Cross multiply
    174,890.81x = 256,577.63 × 256,577.63
  4. Step 4: Simplify right side
    174,890.81x = 65,832,077,650.64
  5. Step 5: Solve for x
    x = 65,832,077,650.64/174,890.81
  6. Step 6: Final answer
    x = 376,418.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.