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Finding the Third Proportional to 116,926 and 252,535

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Solution

The third proportional to 116,926 and 252,535 is: 545,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,926 : 252,535 = 252,535 : x
  2. Step 2: Convert to fraction form
    116,926/252,535 = 252,535/x
  3. Step 3: Cross multiply
    116,926x = 252,535 × 252,535
  4. Step 4: Simplify right side
    116,926x = 63,773,926,225
  5. Step 5: Solve for x
    x = 63,773,926,225/116,926
  6. Step 6: Final answer
    x = 545,421.26

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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.