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Finding the Third Proportional to 141,387.19 and 292,615.88

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Solution

The third proportional to 141,387.19 and 292,615.88 is: 605,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,387.19 : 292,615.88 = 292,615.88 : x
  2. Step 2: Convert to fraction form
    141,387.19/292,615.88 = 292,615.88/x
  3. Step 3: Cross multiply
    141,387.19x = 292,615.88 × 292,615.88
  4. Step 4: Simplify right side
    141,387.19x = 85,624,050,302.02
  5. Step 5: Solve for x
    x = 85,624,050,302.02/141,387.19
  6. Step 6: Final answer
    x = 605,599.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.