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Finding the Third Proportional to 225,732 and 349,898

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Solution

The third proportional to 225,732 and 349,898 is: 542,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,732 : 349,898 = 349,898 : x
  2. Step 2: Convert to fraction form
    225,732/349,898 = 349,898/x
  3. Step 3: Cross multiply
    225,732x = 349,898 × 349,898
  4. Step 4: Simplify right side
    225,732x = 122,428,610,404
  5. Step 5: Solve for x
    x = 122,428,610,404/225,732
  6. Step 6: Final answer
    x = 542,362.67

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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.