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Finding the Third Proportional to 128,265 and 278,430.75

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Solution

The third proportional to 128,265 and 278,430.75 is: 604,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,265 : 278,430.75 = 278,430.75 : x
  2. Step 2: Convert to fraction form
    128,265/278,430.75 = 278,430.75/x
  3. Step 3: Cross multiply
    128,265x = 278,430.75 × 278,430.75
  4. Step 4: Simplify right side
    128,265x = 77,523,682,545.56
  5. Step 5: Solve for x
    x = 77,523,682,545.56/128,265
  6. Step 6: Final answer
    x = 604,402.47

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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.