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Finding the Third Proportional to 134,713.13 and 224,512.88

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Solution

The third proportional to 134,713.13 and 224,512.88 is: 374,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,713.13 : 224,512.88 = 224,512.88 : x
  2. Step 2: Convert to fraction form
    134,713.13/224,512.88 = 224,512.88/x
  3. Step 3: Cross multiply
    134,713.13x = 224,512.88 × 224,512.88
  4. Step 4: Simplify right side
    134,713.13x = 50,406,031,040.77
  5. Step 5: Solve for x
    x = 50,406,031,040.77/134,713.13
  6. Step 6: Final answer
    x = 374,173.13

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.