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Finding the Third Proportional to 163,794 and 240,319

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Solution

The third proportional to 163,794 and 240,319 is: 352,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,794 : 240,319 = 240,319 : x
  2. Step 2: Convert to fraction form
    163,794/240,319 = 240,319/x
  3. Step 3: Cross multiply
    163,794x = 240,319 × 240,319
  4. Step 4: Simplify right side
    163,794x = 57,753,221,761
  5. Step 5: Solve for x
    x = 57,753,221,761/163,794
  6. Step 6: Final answer
    x = 352,596.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.