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Finding the Third Proportional to 178,701.19 and 392,941.13

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Solution

The third proportional to 178,701.19 and 392,941.13 is: 864,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,701.19 : 392,941.13 = 392,941.13 : x
  2. Step 2: Convert to fraction form
    178,701.19/392,941.13 = 392,941.13/x
  3. Step 3: Cross multiply
    178,701.19x = 392,941.13 × 392,941.13
  4. Step 4: Simplify right side
    178,701.19x = 154,402,727,716.27
  5. Step 5: Solve for x
    x = 154,402,727,716.27/178,701.19
  6. Step 6: Final answer
    x = 864,027.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.