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Finding the Third Proportional to 109,534 and 235,958

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Solution

The third proportional to 109,534 and 235,958 is: 508,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,534 : 235,958 = 235,958 : x
  2. Step 2: Convert to fraction form
    109,534/235,958 = 235,958/x
  3. Step 3: Cross multiply
    109,534x = 235,958 × 235,958
  4. Step 4: Simplify right side
    109,534x = 55,676,177,764
  5. Step 5: Solve for x
    x = 55,676,177,764/109,534
  6. Step 6: Final answer
    x = 508,300.42

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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.