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Finding the Third Proportional to 153,108 and 224,469

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Solution

The third proportional to 153,108 and 224,469 is: 329,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,108 : 224,469 = 224,469 : x
  2. Step 2: Convert to fraction form
    153,108/224,469 = 224,469/x
  3. Step 3: Cross multiply
    153,108x = 224,469 × 224,469
  4. Step 4: Simplify right side
    153,108x = 50,386,331,961
  5. Step 5: Solve for x
    x = 50,386,331,961/153,108
  6. Step 6: Final answer
    x = 329,090.13

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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.