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Finding the Third Proportional to 158,886 and 247,704

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Solution

The third proportional to 158,886 and 247,704 is: 386,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,886 : 247,704 = 247,704 : x
  2. Step 2: Convert to fraction form
    158,886/247,704 = 247,704/x
  3. Step 3: Cross multiply
    158,886x = 247,704 × 247,704
  4. Step 4: Simplify right side
    158,886x = 61,357,271,616
  5. Step 5: Solve for x
    x = 61,357,271,616/158,886
  6. Step 6: Final answer
    x = 386,171.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.