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Finding the Third Proportional to 156,582 and 332,604

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Solution

The third proportional to 156,582 and 332,604 is: 706,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,582 : 332,604 = 332,604 : x
  2. Step 2: Convert to fraction form
    156,582/332,604 = 332,604/x
  3. Step 3: Cross multiply
    156,582x = 332,604 × 332,604
  4. Step 4: Simplify right side
    156,582x = 110,625,420,816
  5. Step 5: Solve for x
    x = 110,625,420,816/156,582
  6. Step 6: Final answer
    x = 706,501.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.