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Finding the Third Proportional to 109,603 and 235,838

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Solution

The third proportional to 109,603 and 235,838 is: 507,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,603 : 235,838 = 235,838 : x
  2. Step 2: Convert to fraction form
    109,603/235,838 = 235,838/x
  3. Step 3: Cross multiply
    109,603x = 235,838 × 235,838
  4. Step 4: Simplify right side
    109,603x = 55,619,562,244
  5. Step 5: Solve for x
    x = 55,619,562,244/109,603
  6. Step 6: Final answer
    x = 507,463.87

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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.