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Finding the Third Proportional to 148,332 and 326,922

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Solution

The third proportional to 148,332 and 326,922 is: 720,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,332 : 326,922 = 326,922 : x
  2. Step 2: Convert to fraction form
    148,332/326,922 = 326,922/x
  3. Step 3: Cross multiply
    148,332x = 326,922 × 326,922
  4. Step 4: Simplify right side
    148,332x = 106,877,994,084
  5. Step 5: Solve for x
    x = 106,877,994,084/148,332
  6. Step 6: Final answer
    x = 720,532.28

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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.