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Finding the Third Proportional to 147,255 and 320,286

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Solution

The third proportional to 147,255 and 320,286 is: 696,635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,255 : 320,286 = 320,286 : x
  2. Step 2: Convert to fraction form
    147,255/320,286 = 320,286/x
  3. Step 3: Cross multiply
    147,255x = 320,286 × 320,286
  4. Step 4: Simplify right side
    147,255x = 102,583,121,796
  5. Step 5: Solve for x
    x = 102,583,121,796/147,255
  6. Step 6: Final answer
    x = 696,635.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.