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Finding the Third Proportional to 153,586.13 and 224,534.53

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Solution

The third proportional to 153,586.13 and 224,534.53 is: 328,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,586.13 : 224,534.53 = 224,534.53 : x
  2. Step 2: Convert to fraction form
    153,586.13/224,534.53 = 224,534.53/x
  3. Step 3: Cross multiply
    153,586.13x = 224,534.53 × 224,534.53
  4. Step 4: Simplify right side
    153,586.13x = 50,415,755,723.66
  5. Step 5: Solve for x
    x = 50,415,755,723.66/153,586.13
  6. Step 6: Final answer
    x = 328,257.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.