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Finding the Third Proportional to 156,495 and 337,290

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Solution

The third proportional to 156,495 and 337,290 is: 726,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,495 : 337,290 = 337,290 : x
  2. Step 2: Convert to fraction form
    156,495/337,290 = 337,290/x
  3. Step 3: Cross multiply
    156,495x = 337,290 × 337,290
  4. Step 4: Simplify right side
    156,495x = 113,764,544,100
  5. Step 5: Solve for x
    x = 113,764,544,100/156,495
  6. Step 6: Final answer
    x = 726,953.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.