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Finding the Third Proportional to 232,320 and 341,676

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Solution

The third proportional to 232,320 and 341,676 is: 502,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,320 : 341,676 = 341,676 : x
  2. Step 2: Convert to fraction form
    232,320/341,676 = 341,676/x
  3. Step 3: Cross multiply
    232,320x = 341,676 × 341,676
  4. Step 4: Simplify right side
    232,320x = 116,742,488,976
  5. Step 5: Solve for x
    x = 116,742,488,976/232,320
  6. Step 6: Final answer
    x = 502,507.27

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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.