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Finding the Third Proportional to 156,624 and 237,122

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Solution

The third proportional to 156,624 and 237,122 is: 358,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,624 : 237,122 = 237,122 : x
  2. Step 2: Convert to fraction form
    156,624/237,122 = 237,122/x
  3. Step 3: Cross multiply
    156,624x = 237,122 × 237,122
  4. Step 4: Simplify right side
    156,624x = 56,226,842,884
  5. Step 5: Solve for x
    x = 56,226,842,884/156,624
  6. Step 6: Final answer
    x = 358,992.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.