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Finding the Third Proportional to 152,641 and 224,391

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Solution

The third proportional to 152,641 and 224,391 is: 329,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,641 : 224,391 = 224,391 : x
  2. Step 2: Convert to fraction form
    152,641/224,391 = 224,391/x
  3. Step 3: Cross multiply
    152,641x = 224,391 × 224,391
  4. Step 4: Simplify right side
    152,641x = 50,351,320,881
  5. Step 5: Solve for x
    x = 50,351,320,881/152,641
  6. Step 6: Final answer
    x = 329,867.60

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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.