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Finding the Third Proportional to 165,727.50 and 360,987

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Solution

The third proportional to 165,727.50 and 360,987 is: 786,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,727.50 : 360,987 = 360,987 : x
  2. Step 2: Convert to fraction form
    165,727.50/360,987 = 360,987/x
  3. Step 3: Cross multiply
    165,727.50x = 360,987 × 360,987
  4. Step 4: Simplify right side
    165,727.50x = 130,311,614,169
  5. Step 5: Solve for x
    x = 130,311,614,169/165,727.50
  6. Step 6: Final answer
    x = 786,300.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.