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Finding the Third Proportional to 152,651.25 and 224,403.75

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Solution

The third proportional to 152,651.25 and 224,403.75 is: 329,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,651.25 : 224,403.75 = 224,403.75 : x
  2. Step 2: Convert to fraction form
    152,651.25/224,403.75 = 224,403.75/x
  3. Step 3: Cross multiply
    152,651.25x = 224,403.75 × 224,403.75
  4. Step 4: Simplify right side
    152,651.25x = 50,357,043,014.06
  5. Step 5: Solve for x
    x = 50,357,043,014.06/152,651.25
  6. Step 6: Final answer
    x = 329,882.94

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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.