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Finding the Third Proportional to 163,514 and 288,188

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Solution

The third proportional to 163,514 and 288,188 is: 507,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,514 : 288,188 = 288,188 : x
  2. Step 2: Convert to fraction form
    163,514/288,188 = 288,188/x
  3. Step 3: Cross multiply
    163,514x = 288,188 × 288,188
  4. Step 4: Simplify right side
    163,514x = 83,052,323,344
  5. Step 5: Solve for x
    x = 83,052,323,344/163,514
  6. Step 6: Final answer
    x = 507,921.79

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.