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Finding the Third Proportional to 114,864.75 and 252,382.50

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Solution

The third proportional to 114,864.75 and 252,382.50 is: 554,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,864.75 : 252,382.50 = 252,382.50 : x
  2. Step 2: Convert to fraction form
    114,864.75/252,382.50 = 252,382.50/x
  3. Step 3: Cross multiply
    114,864.75x = 252,382.50 × 252,382.50
  4. Step 4: Simplify right side
    114,864.75x = 63,696,926,306.25
  5. Step 5: Solve for x
    x = 63,696,926,306.25/114,864.75
  6. Step 6: Final answer
    x = 554,538.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.