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Finding the Third Proportional to 148,255 and 326,034

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Solution

The third proportional to 148,255 and 326,034 is: 716,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,255 : 326,034 = 326,034 : x
  2. Step 2: Convert to fraction form
    148,255/326,034 = 326,034/x
  3. Step 3: Cross multiply
    148,255x = 326,034 × 326,034
  4. Step 4: Simplify right side
    148,255x = 106,298,169,156
  5. Step 5: Solve for x
    x = 106,298,169,156/148,255
  6. Step 6: Final answer
    x = 716,995.51

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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.