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Finding the Third Proportional to 131,746.50 and 292,966.88

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Solution

The third proportional to 131,746.50 and 292,966.88 is: 651,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,746.50 : 292,966.88 = 292,966.88 : x
  2. Step 2: Convert to fraction form
    131,746.50/292,966.88 = 292,966.88/x
  3. Step 3: Cross multiply
    131,746.50x = 292,966.88 × 292,966.88
  4. Step 4: Simplify right side
    131,746.50x = 85,829,589,847.27
  5. Step 5: Solve for x
    x = 85,829,589,847.27/131,746.50
  6. Step 6: Final answer
    x = 651,475.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.