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Finding the Third Proportional to 178,731 and 393,445.13

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Solution

The third proportional to 178,731 and 393,445.13 is: 866,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,731 : 393,445.13 = 393,445.13 : x
  2. Step 2: Convert to fraction form
    178,731/393,445.13 = 393,445.13/x
  3. Step 3: Cross multiply
    178,731x = 393,445.13 × 393,445.13
  4. Step 4: Simplify right side
    178,731x = 154,799,066,386.27
  5. Step 5: Solve for x
    x = 154,799,066,386.27/178,731
  6. Step 6: Final answer
    x = 866,100.82

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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.