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Finding the Third Proportional to 116,878.50 and 252,438

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Solution

The third proportional to 116,878.50 and 252,438 is: 545,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,878.50 : 252,438 = 252,438 : x
  2. Step 2: Convert to fraction form
    116,878.50/252,438 = 252,438/x
  3. Step 3: Cross multiply
    116,878.50x = 252,438 × 252,438
  4. Step 4: Simplify right side
    116,878.50x = 63,724,943,844
  5. Step 5: Solve for x
    x = 63,724,943,844/116,878.50
  6. Step 6: Final answer
    x = 545,223.83

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