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Finding the Third Proportional to 232,747 and 355,883

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Solution

The third proportional to 232,747 and 355,883 is: 544,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,747 : 355,883 = 355,883 : x
  2. Step 2: Convert to fraction form
    232,747/355,883 = 355,883/x
  3. Step 3: Cross multiply
    232,747x = 355,883 × 355,883
  4. Step 4: Simplify right side
    232,747x = 126,652,709,689
  5. Step 5: Solve for x
    x = 126,652,709,689/232,747
  6. Step 6: Final answer
    x = 544,164.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.