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Finding the Third Proportional to 158,041.50 and 334,668

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Solution

The third proportional to 158,041.50 and 334,668 is: 708,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,041.50 : 334,668 = 334,668 : x
  2. Step 2: Convert to fraction form
    158,041.50/334,668 = 334,668/x
  3. Step 3: Cross multiply
    158,041.50x = 334,668 × 334,668
  4. Step 4: Simplify right side
    158,041.50x = 112,002,670,224
  5. Step 5: Solve for x
    x = 112,002,670,224/158,041.50
  6. Step 6: Final answer
    x = 708,691.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.