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Finding the Third Proportional to 158,214 and 237,993

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Solution

The third proportional to 158,214 and 237,993 is: 358,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,214 : 237,993 = 237,993 : x
  2. Step 2: Convert to fraction form
    158,214/237,993 = 237,993/x
  3. Step 3: Cross multiply
    158,214x = 237,993 × 237,993
  4. Step 4: Simplify right side
    158,214x = 56,640,668,049
  5. Step 5: Solve for x
    x = 56,640,668,049/158,214
  6. Step 6: Final answer
    x = 358,000.35

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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.