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Finding the Third Proportional to 158,682 and 243,058.50

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Solution

The third proportional to 158,682 and 243,058.50 is: 372,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,682 : 243,058.50 = 243,058.50 : x
  2. Step 2: Convert to fraction form
    158,682/243,058.50 = 243,058.50/x
  3. Step 3: Cross multiply
    158,682x = 243,058.50 × 243,058.50
  4. Step 4: Simplify right side
    158,682x = 59,077,434,422.25
  5. Step 5: Solve for x
    x = 59,077,434,422.25/158,682
  6. Step 6: Final answer
    x = 372,300.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.