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Finding the Third Proportional to 152,929 and 224,931

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Solution

The third proportional to 152,929 and 224,931 is: 330,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,929 : 224,931 = 224,931 : x
  2. Step 2: Convert to fraction form
    152,929/224,931 = 224,931/x
  3. Step 3: Cross multiply
    152,929x = 224,931 × 224,931
  4. Step 4: Simplify right side
    152,929x = 50,593,954,761
  5. Step 5: Solve for x
    x = 50,593,954,761/152,929
  6. Step 6: Final answer
    x = 330,832.97

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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.