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Finding the Third Proportional to 206,689.50 and 292,545

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Solution

The third proportional to 206,689.50 and 292,545 is: 414,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,689.50 : 292,545 = 292,545 : x
  2. Step 2: Convert to fraction form
    206,689.50/292,545 = 292,545/x
  3. Step 3: Cross multiply
    206,689.50x = 292,545 × 292,545
  4. Step 4: Simplify right side
    206,689.50x = 85,582,577,025
  5. Step 5: Solve for x
    x = 85,582,577,025/206,689.50
  6. Step 6: Final answer
    x = 414,063.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.