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Finding the Third Proportional to 187,521 and 382,005

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Solution

The third proportional to 187,521 and 382,005 is: 778,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,521 : 382,005 = 382,005 : x
  2. Step 2: Convert to fraction form
    187,521/382,005 = 382,005/x
  3. Step 3: Cross multiply
    187,521x = 382,005 × 382,005
  4. Step 4: Simplify right side
    187,521x = 145,927,820,025
  5. Step 5: Solve for x
    x = 145,927,820,025/187,521
  6. Step 6: Final answer
    x = 778,194.55

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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.