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Finding the Third Proportional to 180,862.88 and 266,065.88

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Solution

The third proportional to 180,862.88 and 266,065.88 is: 391,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,862.88 : 266,065.88 = 266,065.88 : x
  2. Step 2: Convert to fraction form
    180,862.88/266,065.88 = 266,065.88/x
  3. Step 3: Cross multiply
    180,862.88x = 266,065.88 × 266,065.88
  4. Step 4: Simplify right side
    180,862.88x = 70,791,049,839.52
  5. Step 5: Solve for x
    x = 70,791,049,839.52/180,862.88
  6. Step 6: Final answer
    x = 391,407.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.