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Finding the Third Proportional to 158,063.06 and 237,099.66

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Solution

The third proportional to 158,063.06 and 237,099.66 is: 355,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,063.06 : 237,099.66 = 237,099.66 : x
  2. Step 2: Convert to fraction form
    158,063.06/237,099.66 = 237,099.66/x
  3. Step 3: Cross multiply
    158,063.06x = 237,099.66 × 237,099.66
  4. Step 4: Simplify right side
    158,063.06x = 56,216,246,993.87
  5. Step 5: Solve for x
    x = 56,216,246,993.87/158,063.06
  6. Step 6: Final answer
    x = 355,657.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.