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Finding the Third Proportional to 206,644.92 and 316,124.02

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Solution

The third proportional to 206,644.92 and 316,124.02 is: 483,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,644.92 : 316,124.02 = 316,124.02 : x
  2. Step 2: Convert to fraction form
    206,644.92/316,124.02 = 316,124.02/x
  3. Step 3: Cross multiply
    206,644.92x = 316,124.02 × 316,124.02
  4. Step 4: Simplify right side
    206,644.92x = 99,934,393,254.88
  5. Step 5: Solve for x
    x = 99,934,393,254.88/206,644.92
  6. Step 6: Final answer
    x = 483,604.40

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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.