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Finding the Third Proportional to 159,354 and 235,386

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Solution

The third proportional to 159,354 and 235,386 is: 347,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,354 : 235,386 = 235,386 : x
  2. Step 2: Convert to fraction form
    159,354/235,386 = 235,386/x
  3. Step 3: Cross multiply
    159,354x = 235,386 × 235,386
  4. Step 4: Simplify right side
    159,354x = 55,406,568,996
  5. Step 5: Solve for x
    x = 55,406,568,996/159,354
  6. Step 6: Final answer
    x = 347,694.87

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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.