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Finding the Third Proportional to 158,946.75 and 238,422.38

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Solution

The third proportional to 158,946.75 and 238,422.38 is: 357,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,946.75 : 238,422.38 = 238,422.38 : x
  2. Step 2: Convert to fraction form
    158,946.75/238,422.38 = 238,422.38/x
  3. Step 3: Cross multiply
    158,946.75x = 238,422.38 × 238,422.38
  4. Step 4: Simplify right side
    158,946.75x = 56,845,228,900.64
  5. Step 5: Solve for x
    x = 56,845,228,900.64/158,946.75
  6. Step 6: Final answer
    x = 357,636.94

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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.