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Finding the Third Proportional to 206,708 and 310,065

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Solution

The third proportional to 206,708 and 310,065 is: 465,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,708 : 310,065 = 310,065 : x
  2. Step 2: Convert to fraction form
    206,708/310,065 = 310,065/x
  3. Step 3: Cross multiply
    206,708x = 310,065 × 310,065
  4. Step 4: Simplify right side
    206,708x = 96,140,304,225
  5. Step 5: Solve for x
    x = 96,140,304,225/206,708
  6. Step 6: Final answer
    x = 465,102.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.