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Finding the Third Proportional to 157,029 and 224,287

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Solution

The third proportional to 157,029 and 224,287 is: 320,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,029 : 224,287 = 224,287 : x
  2. Step 2: Convert to fraction form
    157,029/224,287 = 224,287/x
  3. Step 3: Cross multiply
    157,029x = 224,287 × 224,287
  4. Step 4: Simplify right side
    157,029x = 50,304,658,369
  5. Step 5: Solve for x
    x = 50,304,658,369/157,029
  6. Step 6: Final answer
    x = 320,352.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.