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Finding the Third Proportional to 232,742 and 355,880

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Solution

The third proportional to 232,742 and 355,880 is: 544,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,742 : 355,880 = 355,880 : x
  2. Step 2: Convert to fraction form
    232,742/355,880 = 355,880/x
  3. Step 3: Cross multiply
    232,742x = 355,880 × 355,880
  4. Step 4: Simplify right side
    232,742x = 126,650,574,400
  5. Step 5: Solve for x
    x = 126,650,574,400/232,742
  6. Step 6: Final answer
    x = 544,167.25

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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.