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Finding the Third Proportional to 148,254 and 326,748

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Solution

The third proportional to 148,254 and 326,748 is: 720,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,254 : 326,748 = 326,748 : x
  2. Step 2: Convert to fraction form
    148,254/326,748 = 326,748/x
  3. Step 3: Cross multiply
    148,254x = 326,748 × 326,748
  4. Step 4: Simplify right side
    148,254x = 106,764,255,504
  5. Step 5: Solve for x
    x = 106,764,255,504/148,254
  6. Step 6: Final answer
    x = 720,144.18

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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.