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Finding the Third Proportional to 156,730 and 238,765

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Solution

The third proportional to 156,730 and 238,765 is: 363,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,730 : 238,765 = 238,765 : x
  2. Step 2: Convert to fraction form
    156,730/238,765 = 238,765/x
  3. Step 3: Cross multiply
    156,730x = 238,765 × 238,765
  4. Step 4: Simplify right side
    156,730x = 57,008,725,225
  5. Step 5: Solve for x
    x = 57,008,725,225/156,730
  6. Step 6: Final answer
    x = 363,738.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.