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Finding the Third Proportional to 156,526.88 and 338,065.88

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Solution

The third proportional to 156,526.88 and 338,065.88 is: 730,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,526.88 : 338,065.88 = 338,065.88 : x
  2. Step 2: Convert to fraction form
    156,526.88/338,065.88 = 338,065.88/x
  3. Step 3: Cross multiply
    156,526.88x = 338,065.88 × 338,065.88
  4. Step 4: Simplify right side
    156,526.88x = 114,288,535,839.52
  5. Step 5: Solve for x
    x = 114,288,535,839.52/156,526.88
  6. Step 6: Final answer
    x = 730,152.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.