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Finding the Third Proportional to 206,411.06 and 315,770.06

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Solution

The third proportional to 206,411.06 and 315,770.06 is: 483,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.06 : 315,770.06 = 315,770.06 : x
  2. Step 2: Convert to fraction form
    206,411.06/315,770.06 = 315,770.06/x
  3. Step 3: Cross multiply
    206,411.06x = 315,770.06 × 315,770.06
  4. Step 4: Simplify right side
    206,411.06x = 99,710,732,371.25
  5. Step 5: Solve for x
    x = 99,710,732,371.25/206,411.06
  6. Step 6: Final answer
    x = 483,068.74

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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.