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Finding the Third Proportional to 229,065.50 and 349,523

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Solution

The third proportional to 229,065.50 and 349,523 is: 533,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,065.50 : 349,523 = 349,523 : x
  2. Step 2: Convert to fraction form
    229,065.50/349,523 = 349,523/x
  3. Step 3: Cross multiply
    229,065.50x = 349,523 × 349,523
  4. Step 4: Simplify right side
    229,065.50x = 122,166,327,529
  5. Step 5: Solve for x
    x = 122,166,327,529/229,065.50
  6. Step 6: Final answer
    x = 533,324.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.