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Finding the Third Proportional to 232,257 and 351,594

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Solution

The third proportional to 232,257 and 351,594 is: 532,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,257 : 351,594 = 351,594 : x
  2. Step 2: Convert to fraction form
    232,257/351,594 = 351,594/x
  3. Step 3: Cross multiply
    232,257x = 351,594 × 351,594
  4. Step 4: Simplify right side
    232,257x = 123,618,340,836
  5. Step 5: Solve for x
    x = 123,618,340,836/232,257
  6. Step 6: Final answer
    x = 532,248.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.