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Finding the Third Proportional to 148,366 and 326,216

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Solution

The third proportional to 148,366 and 326,216 is: 717,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,366 : 326,216 = 326,216 : x
  2. Step 2: Convert to fraction form
    148,366/326,216 = 326,216/x
  3. Step 3: Cross multiply
    148,366x = 326,216 × 326,216
  4. Step 4: Simplify right side
    148,366x = 106,416,878,656
  5. Step 5: Solve for x
    x = 106,416,878,656/148,366
  6. Step 6: Final answer
    x = 717,259.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.