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Finding the Third Proportional to 206,397.56 and 314,934.75

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Solution

The third proportional to 206,397.56 and 314,934.75 is: 480,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,397.56 : 314,934.75 = 314,934.75 : x
  2. Step 2: Convert to fraction form
    206,397.56/314,934.75 = 314,934.75/x
  3. Step 3: Cross multiply
    206,397.56x = 314,934.75 × 314,934.75
  4. Step 4: Simplify right side
    206,397.56x = 99,183,896,757.56
  5. Step 5: Solve for x
    x = 99,183,896,757.56/206,397.56
  6. Step 6: Final answer
    x = 480,547.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.