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Finding the Third Proportional to 152,619 and 224,362

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Solution

The third proportional to 152,619 and 224,362 is: 329,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,619 : 224,362 = 224,362 : x
  2. Step 2: Convert to fraction form
    152,619/224,362 = 224,362/x
  3. Step 3: Cross multiply
    152,619x = 224,362 × 224,362
  4. Step 4: Simplify right side
    152,619x = 50,338,307,044
  5. Step 5: Solve for x
    x = 50,338,307,044/152,619
  6. Step 6: Final answer
    x = 329,829.88

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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.