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Finding the Third Proportional to 128,723 and 278,890

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Solution

The third proportional to 128,723 and 278,890 is: 604,240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,723 : 278,890 = 278,890 : x
  2. Step 2: Convert to fraction form
    128,723/278,890 = 278,890/x
  3. Step 3: Cross multiply
    128,723x = 278,890 × 278,890
  4. Step 4: Simplify right side
    128,723x = 77,779,632,100
  5. Step 5: Solve for x
    x = 77,779,632,100/128,723
  6. Step 6: Final answer
    x = 604,240.36

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