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Finding the Third Proportional to 134,514 and 216,738

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Solution

The third proportional to 134,514 and 216,738 is: 349,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,514 : 216,738 = 216,738 : x
  2. Step 2: Convert to fraction form
    134,514/216,738 = 216,738/x
  3. Step 3: Cross multiply
    134,514x = 216,738 × 216,738
  4. Step 4: Simplify right side
    134,514x = 46,975,360,644
  5. Step 5: Solve for x
    x = 46,975,360,644/134,514
  6. Step 6: Final answer
    x = 349,222.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.