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Finding the Third Proportional to 148,557 and 219,559

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Solution

The third proportional to 148,557 and 219,559 is: 324,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,557 : 219,559 = 219,559 : x
  2. Step 2: Convert to fraction form
    148,557/219,559 = 219,559/x
  3. Step 3: Cross multiply
    148,557x = 219,559 × 219,559
  4. Step 4: Simplify right side
    148,557x = 48,206,154,481
  5. Step 5: Solve for x
    x = 48,206,154,481/148,557
  6. Step 6: Final answer
    x = 324,496.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.