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Finding the Third Proportional to 148,126 and 325,898

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Solution

The third proportional to 148,126 and 325,898 is: 717,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,126 : 325,898 = 325,898 : x
  2. Step 2: Convert to fraction form
    148,126/325,898 = 325,898/x
  3. Step 3: Cross multiply
    148,126x = 325,898 × 325,898
  4. Step 4: Simplify right side
    148,126x = 106,209,506,404
  5. Step 5: Solve for x
    x = 106,209,506,404/148,126
  6. Step 6: Final answer
    x = 717,021.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.