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Finding the Third Proportional to 205,706 and 318,387

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Solution

The third proportional to 205,706 and 318,387 is: 492,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,706 : 318,387 = 318,387 : x
  2. Step 2: Convert to fraction form
    205,706/318,387 = 318,387/x
  3. Step 3: Cross multiply
    205,706x = 318,387 × 318,387
  4. Step 4: Simplify right side
    205,706x = 101,370,281,769
  5. Step 5: Solve for x
    x = 101,370,281,769/205,706
  6. Step 6: Final answer
    x = 492,792.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.