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Finding the Third Proportional to 229,876.50 and 345,126

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Solution

The third proportional to 229,876.50 and 345,126 is: 518,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,876.50 : 345,126 = 345,126 : x
  2. Step 2: Convert to fraction form
    229,876.50/345,126 = 345,126/x
  3. Step 3: Cross multiply
    229,876.50x = 345,126 × 345,126
  4. Step 4: Simplify right side
    229,876.50x = 119,111,955,876
  5. Step 5: Solve for x
    x = 119,111,955,876/229,876.50
  6. Step 6: Final answer
    x = 518,156.30

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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.