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Finding the Third Proportional to 232,476 and 359,229

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Solution

The third proportional to 232,476 and 359,229 is: 555,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,476 : 359,229 = 359,229 : x
  2. Step 2: Convert to fraction form
    232,476/359,229 = 359,229/x
  3. Step 3: Cross multiply
    232,476x = 359,229 × 359,229
  4. Step 4: Simplify right side
    232,476x = 129,045,474,441
  5. Step 5: Solve for x
    x = 129,045,474,441/232,476
  6. Step 6: Final answer
    x = 555,091.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.