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Finding the Third Proportional to 158,689.13 and 330,500.25

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Solution

The third proportional to 158,689.13 and 330,500.25 is: 688,329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,689.13 : 330,500.25 = 330,500.25 : x
  2. Step 2: Convert to fraction form
    158,689.13/330,500.25 = 330,500.25/x
  3. Step 3: Cross multiply
    158,689.13x = 330,500.25 × 330,500.25
  4. Step 4: Simplify right side
    158,689.13x = 109,230,415,250.06
  5. Step 5: Solve for x
    x = 109,230,415,250.06/158,689.13
  6. Step 6: Final answer
    x = 688,329.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.