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Finding the Third Proportional to 232,336 and 341,696

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Solution

The third proportional to 232,336 and 341,696 is: 502,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,336 : 341,696 = 341,696 : x
  2. Step 2: Convert to fraction form
    232,336/341,696 = 341,696/x
  3. Step 3: Cross multiply
    232,336x = 341,696 × 341,696
  4. Step 4: Simplify right side
    232,336x = 116,756,156,416
  5. Step 5: Solve for x
    x = 116,756,156,416/232,336
  6. Step 6: Final answer
    x = 502,531.49

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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.