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Finding the Third Proportional to 226,088.50 and 349,919

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Solution

The third proportional to 226,088.50 and 349,919 is: 541,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,088.50 : 349,919 = 349,919 : x
  2. Step 2: Convert to fraction form
    226,088.50/349,919 = 349,919/x
  3. Step 3: Cross multiply
    226,088.50x = 349,919 × 349,919
  4. Step 4: Simplify right side
    226,088.50x = 122,443,306,561
  5. Step 5: Solve for x
    x = 122,443,306,561/226,088.50
  6. Step 6: Final answer
    x = 541,572.47

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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.