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Finding the Third Proportional to 128,506 and 278,464

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Solution

The third proportional to 128,506 and 278,464 is: 603,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,506 : 278,464 = 278,464 : x
  2. Step 2: Convert to fraction form
    128,506/278,464 = 278,464/x
  3. Step 3: Cross multiply
    128,506x = 278,464 × 278,464
  4. Step 4: Simplify right side
    128,506x = 77,542,199,296
  5. Step 5: Solve for x
    x = 77,542,199,296/128,506
  6. Step 6: Final answer
    x = 603,413.06

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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.