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Finding the Third Proportional to 225,639 and 349,849.13

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Solution

The third proportional to 225,639 and 349,849.13 is: 542,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,639 : 349,849.13 = 349,849.13 : x
  2. Step 2: Convert to fraction form
    225,639/349,849.13 = 349,849.13/x
  3. Step 3: Cross multiply
    225,639x = 349,849.13 × 349,849.13
  4. Step 4: Simplify right side
    225,639x = 122,394,410,263.27
  5. Step 5: Solve for x
    x = 122,394,410,263.27/225,639
  6. Step 6: Final answer
    x = 542,434.64

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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.