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Finding the Third Proportional to 158,494 and 235,121

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Solution

The third proportional to 158,494 and 235,121 is: 348,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,494 : 235,121 = 235,121 : x
  2. Step 2: Convert to fraction form
    158,494/235,121 = 235,121/x
  3. Step 3: Cross multiply
    158,494x = 235,121 × 235,121
  4. Step 4: Simplify right side
    158,494x = 55,281,884,641
  5. Step 5: Solve for x
    x = 55,281,884,641/158,494
  6. Step 6: Final answer
    x = 348,794.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.