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Finding the Third Proportional to 232,317 and 341,671.50

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Solution

The third proportional to 232,317 and 341,671.50 is: 502,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,317 : 341,671.50 = 341,671.50 : x
  2. Step 2: Convert to fraction form
    232,317/341,671.50 = 341,671.50/x
  3. Step 3: Cross multiply
    232,317x = 341,671.50 × 341,671.50
  4. Step 4: Simplify right side
    232,317x = 116,739,413,912.25
  5. Step 5: Solve for x
    x = 116,739,413,912.25/232,317
  6. Step 6: Final answer
    x = 502,500.52

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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.