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Finding the Third Proportional to 128,582.75 and 278,306.50

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Solution

The third proportional to 128,582.75 and 278,306.50 is: 602,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,582.75 : 278,306.50 = 278,306.50 : x
  2. Step 2: Convert to fraction form
    128,582.75/278,306.50 = 278,306.50/x
  3. Step 3: Cross multiply
    128,582.75x = 278,306.50 × 278,306.50
  4. Step 4: Simplify right side
    128,582.75x = 77,454,507,942.25
  5. Step 5: Solve for x
    x = 77,454,507,942.25/128,582.75
  6. Step 6: Final answer
    x = 602,370.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.