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Finding the Third Proportional to 159,288 and 235,914

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Solution

The third proportional to 159,288 and 235,914 is: 349,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,288 : 235,914 = 235,914 : x
  2. Step 2: Convert to fraction form
    159,288/235,914 = 235,914/x
  3. Step 3: Cross multiply
    159,288x = 235,914 × 235,914
  4. Step 4: Simplify right side
    159,288x = 55,655,415,396
  5. Step 5: Solve for x
    x = 55,655,415,396/159,288
  6. Step 6: Final answer
    x = 349,401.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.