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Finding the Third Proportional to 134,952 and 214,443

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Solution

The third proportional to 134,952 and 214,443 is: 340,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,952 : 214,443 = 214,443 : x
  2. Step 2: Convert to fraction form
    134,952/214,443 = 214,443/x
  3. Step 3: Cross multiply
    134,952x = 214,443 × 214,443
  4. Step 4: Simplify right side
    134,952x = 45,985,800,249
  5. Step 5: Solve for x
    x = 45,985,800,249/134,952
  6. Step 6: Final answer
    x = 340,756.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.