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Finding the Third Proportional to 86,305.50 and 185,043

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Solution

The third proportional to 86,305.50 and 185,043 is: 396,740.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,305.50 : 185,043 = 185,043 : x
  2. Step 2: Convert to fraction form
    86,305.50/185,043 = 185,043/x
  3. Step 3: Cross multiply
    86,305.50x = 185,043 × 185,043
  4. Step 4: Simplify right side
    86,305.50x = 34,240,911,849
  5. Step 5: Solve for x
    x = 34,240,911,849/86,305.50
  6. Step 6: Final answer
    x = 396,740.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.