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Finding the Third Proportional to 158,065.17 and 237,102.19

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Solution

The third proportional to 158,065.17 and 237,102.19 is: 355,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,065.17 : 237,102.19 = 237,102.19 : x
  2. Step 2: Convert to fraction form
    158,065.17/237,102.19 = 237,102.19/x
  3. Step 3: Cross multiply
    158,065.17x = 237,102.19 × 237,102.19
  4. Step 4: Simplify right side
    158,065.17x = 56,217,447,317.29
  5. Step 5: Solve for x
    x = 56,217,447,317.29/158,065.17
  6. Step 6: Final answer
    x = 355,659.93

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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.