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Finding the Third Proportional to 158,148 and 251,298

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Solution

The third proportional to 158,148 and 251,298 is: 399,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,148 : 251,298 = 251,298 : x
  2. Step 2: Convert to fraction form
    158,148/251,298 = 251,298/x
  3. Step 3: Cross multiply
    158,148x = 251,298 × 251,298
  4. Step 4: Simplify right side
    158,148x = 63,150,684,804
  5. Step 5: Solve for x
    x = 63,150,684,804/158,148
  6. Step 6: Final answer
    x = 399,313.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.