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Finding the Third Proportional to 178,713 and 372,132

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Solution

The third proportional to 178,713 and 372,132 is: 774,886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,713 : 372,132 = 372,132 : x
  2. Step 2: Convert to fraction form
    178,713/372,132 = 372,132/x
  3. Step 3: Cross multiply
    178,713x = 372,132 × 372,132
  4. Step 4: Simplify right side
    178,713x = 138,482,225,424
  5. Step 5: Solve for x
    x = 138,482,225,424/178,713
  6. Step 6: Final answer
    x = 774,886.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.