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Finding the Third Proportional to 156,229 and 233,321

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Solution

The third proportional to 156,229 and 233,321 is: 348,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,229 : 233,321 = 233,321 : x
  2. Step 2: Convert to fraction form
    156,229/233,321 = 233,321/x
  3. Step 3: Cross multiply
    156,229x = 233,321 × 233,321
  4. Step 4: Simplify right side
    156,229x = 54,438,689,041
  5. Step 5: Solve for x
    x = 54,438,689,041/156,229
  6. Step 6: Final answer
    x = 348,454.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.