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Finding the Third Proportional to 206,095.13 and 434,330.25

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Solution

The third proportional to 206,095.13 and 434,330.25 is: 915,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,095.13 : 434,330.25 = 434,330.25 : x
  2. Step 2: Convert to fraction form
    206,095.13/434,330.25 = 434,330.25/x
  3. Step 3: Cross multiply
    206,095.13x = 434,330.25 × 434,330.25
  4. Step 4: Simplify right side
    206,095.13x = 188,642,766,065.06
  5. Step 5: Solve for x
    x = 188,642,766,065.06/206,095.13
  6. Step 6: Final answer
    x = 915,318.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.