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Finding the Third Proportional to 141,031.13 and 220,127.63

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Solution

The third proportional to 141,031.13 and 220,127.63 is: 343,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,031.13 : 220,127.63 = 220,127.63 : x
  2. Step 2: Convert to fraction form
    141,031.13/220,127.63 = 220,127.63/x
  3. Step 3: Cross multiply
    141,031.13x = 220,127.63 × 220,127.63
  4. Step 4: Simplify right side
    141,031.13x = 48,456,171,288.14
  5. Step 5: Solve for x
    x = 48,456,171,288.14/141,031.13
  6. Step 6: Final answer
    x = 343,584.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.