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Finding the Third Proportional to 187,527 and 382,017

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Solution

The third proportional to 187,527 and 382,017 is: 778,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,527 : 382,017 = 382,017 : x
  2. Step 2: Convert to fraction form
    187,527/382,017 = 382,017/x
  3. Step 3: Cross multiply
    187,527x = 382,017 × 382,017
  4. Step 4: Simplify right side
    187,527x = 145,936,988,289
  5. Step 5: Solve for x
    x = 145,936,988,289/187,527
  6. Step 6: Final answer
    x = 778,218.54

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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.