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Finding the Third Proportional to 206,426.81 and 341,641.13

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Solution

The third proportional to 206,426.81 and 341,641.13 is: 565,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,426.81 : 341,641.13 = 341,641.13 : x
  2. Step 2: Convert to fraction form
    206,426.81/341,641.13 = 341,641.13/x
  3. Step 3: Cross multiply
    206,426.81x = 341,641.13 × 341,641.13
  4. Step 4: Simplify right side
    206,426.81x = 116,718,658,291.27
  5. Step 5: Solve for x
    x = 116,718,658,291.27/206,426.81
  6. Step 6: Final answer
    x = 565,423.92

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.