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Finding the Third Proportional to 116,432 and 254,657

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Solution

The third proportional to 116,432 and 254,657 is: 556,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,432 : 254,657 = 254,657 : x
  2. Step 2: Convert to fraction form
    116,432/254,657 = 254,657/x
  3. Step 3: Cross multiply
    116,432x = 254,657 × 254,657
  4. Step 4: Simplify right side
    116,432x = 64,850,187,649
  5. Step 5: Solve for x
    x = 64,850,187,649/116,432
  6. Step 6: Final answer
    x = 556,979.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.