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Finding the Third Proportional to 156,778.50 and 343,581

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Solution

The third proportional to 156,778.50 and 343,581 is: 752,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,778.50 : 343,581 = 343,581 : x
  2. Step 2: Convert to fraction form
    156,778.50/343,581 = 343,581/x
  3. Step 3: Cross multiply
    156,778.50x = 343,581 × 343,581
  4. Step 4: Simplify right side
    156,778.50x = 118,047,903,561
  5. Step 5: Solve for x
    x = 118,047,903,561/156,778.50
  6. Step 6: Final answer
    x = 752,959.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.