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Finding the Third Proportional to 109,438 and 235,762

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Solution

The third proportional to 109,438 and 235,762 is: 507,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,438 : 235,762 = 235,762 : x
  2. Step 2: Convert to fraction form
    109,438/235,762 = 235,762/x
  3. Step 3: Cross multiply
    109,438x = 235,762 × 235,762
  4. Step 4: Simplify right side
    109,438x = 55,583,720,644
  5. Step 5: Solve for x
    x = 55,583,720,644/109,438
  6. Step 6: Final answer
    x = 507,901.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.