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Finding the Third Proportional to 158,910.61 and 235,616.98

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Solution

The third proportional to 158,910.61 and 235,616.98 is: 349,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,910.61 : 235,616.98 = 235,616.98 : x
  2. Step 2: Convert to fraction form
    158,910.61/235,616.98 = 235,616.98/x
  3. Step 3: Cross multiply
    158,910.61x = 235,616.98 × 235,616.98
  4. Step 4: Simplify right side
    158,910.61x = 55,515,359,644.45
  5. Step 5: Solve for x
    x = 55,515,359,644.45/158,910.61
  6. Step 6: Final answer
    x = 349,349.61

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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.