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Finding the Third Proportional to 128,510 and 278,470

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Solution

The third proportional to 128,510 and 278,470 is: 603,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,510 : 278,470 = 278,470 : x
  2. Step 2: Convert to fraction form
    128,510/278,470 = 278,470/x
  3. Step 3: Cross multiply
    128,510x = 278,470 × 278,470
  4. Step 4: Simplify right side
    128,510x = 77,545,540,900
  5. Step 5: Solve for x
    x = 77,545,540,900/128,510
  6. Step 6: Final answer
    x = 603,420.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.