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Finding the Third Proportional to 301,178.25 and 466,347.75

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Solution

The third proportional to 301,178.25 and 466,347.75 is: 722,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,178.25 : 466,347.75 = 466,347.75 : x
  2. Step 2: Convert to fraction form
    301,178.25/466,347.75 = 466,347.75/x
  3. Step 3: Cross multiply
    301,178.25x = 466,347.75 × 466,347.75
  4. Step 4: Simplify right side
    301,178.25x = 217,480,223,930.06
  5. Step 5: Solve for x
    x = 217,480,223,930.06/301,178.25
  6. Step 6: Final answer
    x = 722,098.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.