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Finding the Third Proportional to 180,925.13 and 266,125.13

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Solution

The third proportional to 180,925.13 and 266,125.13 is: 391,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,925.13 : 266,125.13 = 266,125.13 : x
  2. Step 2: Convert to fraction form
    180,925.13/266,125.13 = 266,125.13/x
  3. Step 3: Cross multiply
    180,925.13x = 266,125.13 × 266,125.13
  4. Step 4: Simplify right side
    180,925.13x = 70,822,582,156.27
  5. Step 5: Solve for x
    x = 70,822,582,156.27/180,925.13
  6. Step 6: Final answer
    x = 391,446.92

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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.