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Finding the Third Proportional to 180,882 and 392,892.75

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Solution

The third proportional to 180,882 and 392,892.75 is: 853,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,882 : 392,892.75 = 392,892.75 : x
  2. Step 2: Convert to fraction form
    180,882/392,892.75 = 392,892.75/x
  3. Step 3: Cross multiply
    180,882x = 392,892.75 × 392,892.75
  4. Step 4: Simplify right side
    180,882x = 154,364,713,002.56
  5. Step 5: Solve for x
    x = 154,364,713,002.56/180,882
  6. Step 6: Final answer
    x = 853,400.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.