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Finding the Third Proportional to 152,633.11 and 224,376.33

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Solution

The third proportional to 152,633.11 and 224,376.33 is: 329,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,633.11 : 224,376.33 = 224,376.33 : x
  2. Step 2: Convert to fraction form
    152,633.11/224,376.33 = 224,376.33/x
  3. Step 3: Cross multiply
    152,633.11x = 224,376.33 × 224,376.33
  4. Step 4: Simplify right side
    152,633.11x = 50,344,736,622.86
  5. Step 5: Solve for x
    x = 50,344,736,622.86/152,633.11
  6. Step 6: Final answer
    x = 329,841.52

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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.