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Finding the Third Proportional to 128,760 and 278,960

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Solution

The third proportional to 128,760 and 278,960 is: 604,370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,760 : 278,960 = 278,960 : x
  2. Step 2: Convert to fraction form
    128,760/278,960 = 278,960/x
  3. Step 3: Cross multiply
    128,760x = 278,960 × 278,960
  4. Step 4: Simplify right side
    128,760x = 77,818,681,600
  5. Step 5: Solve for x
    x = 77,818,681,600/128,760
  6. Step 6: Final answer
    x = 604,370.00

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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.