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Finding the Third Proportional to 158,325.89 and 245,509.73

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Solution

The third proportional to 158,325.89 and 245,509.73 is: 380,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,325.89 : 245,509.73 = 245,509.73 : x
  2. Step 2: Convert to fraction form
    158,325.89/245,509.73 = 245,509.73/x
  3. Step 3: Cross multiply
    158,325.89x = 245,509.73 × 245,509.73
  4. Step 4: Simplify right side
    158,325.89x = 60,275,029,672.88
  5. Step 5: Solve for x
    x = 60,275,029,672.88/158,325.89
  6. Step 6: Final answer
    x = 380,702.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.