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Finding the Third Proportional to 158,073.19 and 237,115.69

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Solution

The third proportional to 158,073.19 and 237,115.69 is: 355,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,073.19 : 237,115.69 = 237,115.69 : x
  2. Step 2: Convert to fraction form
    158,073.19/237,115.69 = 237,115.69/x
  3. Step 3: Cross multiply
    158,073.19x = 237,115.69 × 237,115.69
  4. Step 4: Simplify right side
    158,073.19x = 56,223,849,258.60
  5. Step 5: Solve for x
    x = 56,223,849,258.60/158,073.19
  6. Step 6: Final answer
    x = 355,682.39

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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.