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Finding the Third Proportional to 148,540.08 and 320,752.41

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Solution

The third proportional to 148,540.08 and 320,752.41 is: 692,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,540.08 : 320,752.41 = 320,752.41 : x
  2. Step 2: Convert to fraction form
    148,540.08/320,752.41 = 320,752.41/x
  3. Step 3: Cross multiply
    148,540.08x = 320,752.41 × 320,752.41
  4. Step 4: Simplify right side
    148,540.08x = 102,882,106,115.17
  5. Step 5: Solve for x
    x = 102,882,106,115.17/148,540.08
  6. Step 6: Final answer
    x = 692,621.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.