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Finding the Third Proportional to 232,332 and 341,690

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Solution

The third proportional to 232,332 and 341,690 is: 502,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,332 : 341,690 = 341,690 : x
  2. Step 2: Convert to fraction form
    232,332/341,690 = 341,690/x
  3. Step 3: Cross multiply
    232,332x = 341,690 × 341,690
  4. Step 4: Simplify right side
    232,332x = 116,752,056,100
  5. Step 5: Solve for x
    x = 116,752,056,100/232,332
  6. Step 6: Final answer
    x = 502,522.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.