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Finding the Third Proportional to 156,930 and 232,346

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Solution

The third proportional to 156,930 and 232,346 is: 344,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,930 : 232,346 = 232,346 : x
  2. Step 2: Convert to fraction form
    156,930/232,346 = 232,346/x
  3. Step 3: Cross multiply
    156,930x = 232,346 × 232,346
  4. Step 4: Simplify right side
    156,930x = 53,984,663,716
  5. Step 5: Solve for x
    x = 53,984,663,716/156,930
  6. Step 6: Final answer
    x = 344,004.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.