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Finding the Third Proportional to 229,060 and 342,532

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Solution

The third proportional to 229,060 and 342,532 is: 512,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,060 : 342,532 = 342,532 : x
  2. Step 2: Convert to fraction form
    229,060/342,532 = 342,532/x
  3. Step 3: Cross multiply
    229,060x = 342,532 × 342,532
  4. Step 4: Simplify right side
    229,060x = 117,328,171,024
  5. Step 5: Solve for x
    x = 117,328,171,024/229,060
  6. Step 6: Final answer
    x = 512,215.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.