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Finding the Third Proportional to 128,436 and 170,470

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Solution

The third proportional to 128,436 and 170,470 is: 226,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,436 : 170,470 = 170,470 : x
  2. Step 2: Convert to fraction form
    128,436/170,470 = 170,470/x
  3. Step 3: Cross multiply
    128,436x = 170,470 × 170,470
  4. Step 4: Simplify right side
    128,436x = 29,060,020,900
  5. Step 5: Solve for x
    x = 29,060,020,900/128,436
  6. Step 6: Final answer
    x = 226,260.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.