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Finding the Third Proportional to 109,484 and 236,959

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Solution

The third proportional to 109,484 and 236,959 is: 512,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,484 : 236,959 = 236,959 : x
  2. Step 2: Convert to fraction form
    109,484/236,959 = 236,959/x
  3. Step 3: Cross multiply
    109,484x = 236,959 × 236,959
  4. Step 4: Simplify right side
    109,484x = 56,149,567,681
  5. Step 5: Solve for x
    x = 56,149,567,681/109,484
  6. Step 6: Final answer
    x = 512,856.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.