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Finding the Third Proportional to 152,631.38 and 224,373.75

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Solution

The third proportional to 152,631.38 and 224,373.75 is: 329,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,631.38 : 224,373.75 = 224,373.75 : x
  2. Step 2: Convert to fraction form
    152,631.38/224,373.75 = 224,373.75/x
  3. Step 3: Cross multiply
    152,631.38x = 224,373.75 × 224,373.75
  4. Step 4: Simplify right side
    152,631.38x = 50,343,579,689.06
  5. Step 5: Solve for x
    x = 50,343,579,689.06/152,631.38
  6. Step 6: Final answer
    x = 329,837.69

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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.