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Finding the Third Proportional to 138,277.25 and 301,582.75

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Solution

The third proportional to 138,277.25 and 301,582.75 is: 657,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,277.25 : 301,582.75 = 301,582.75 : x
  2. Step 2: Convert to fraction form
    138,277.25/301,582.75 = 301,582.75/x
  3. Step 3: Cross multiply
    138,277.25x = 301,582.75 × 301,582.75
  4. Step 4: Simplify right side
    138,277.25x = 90,952,155,097.56
  5. Step 5: Solve for x
    x = 90,952,155,097.56/138,277.25
  6. Step 6: Final answer
    x = 657,752.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.