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Finding the Third Proportional to 109,008 and 235,424

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Solution

The third proportional to 109,008 and 235,424 is: 508,443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,008 : 235,424 = 235,424 : x
  2. Step 2: Convert to fraction form
    109,008/235,424 = 235,424/x
  3. Step 3: Cross multiply
    109,008x = 235,424 × 235,424
  4. Step 4: Simplify right side
    109,008x = 55,424,459,776
  5. Step 5: Solve for x
    x = 55,424,459,776/109,008
  6. Step 6: Final answer
    x = 508,443.97

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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.