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Finding the Third Proportional to 151,115.63 and 224,562.38

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Solution

The third proportional to 151,115.63 and 224,562.38 is: 333,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,115.63 : 224,562.38 = 224,562.38 : x
  2. Step 2: Convert to fraction form
    151,115.63/224,562.38 = 224,562.38/x
  3. Step 3: Cross multiply
    151,115.63x = 224,562.38 × 224,562.38
  4. Step 4: Simplify right side
    151,115.63x = 50,428,260,265.64
  5. Step 5: Solve for x
    x = 50,428,260,265.64/151,115.63
  6. Step 6: Final answer
    x = 333,706.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.