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Finding the Third Proportional to 187,536 and 382,034

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Solution

The third proportional to 187,536 and 382,034 is: 778,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,536 : 382,034 = 382,034 : x
  2. Step 2: Convert to fraction form
    187,536/382,034 = 382,034/x
  3. Step 3: Cross multiply
    187,536x = 382,034 × 382,034
  4. Step 4: Simplify right side
    187,536x = 145,949,977,156
  5. Step 5: Solve for x
    x = 145,949,977,156/187,536
  6. Step 6: Final answer
    x = 778,250.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.