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Finding the Third Proportional to 158,068 and 237,107

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Solution

The third proportional to 158,068 and 237,107 is: 355,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,068 : 237,107 = 237,107 : x
  2. Step 2: Convert to fraction form
    158,068/237,107 = 237,107/x
  3. Step 3: Cross multiply
    158,068x = 237,107 × 237,107
  4. Step 4: Simplify right side
    158,068x = 56,219,729,449
  5. Step 5: Solve for x
    x = 56,219,729,449/158,068
  6. Step 6: Final answer
    x = 355,668.00

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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.