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Finding the Third Proportional to 165,886.50 and 250,204.50

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Solution

The third proportional to 165,886.50 and 250,204.50 is: 377,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,886.50 : 250,204.50 = 250,204.50 : x
  2. Step 2: Convert to fraction form
    165,886.50/250,204.50 = 250,204.50/x
  3. Step 3: Cross multiply
    165,886.50x = 250,204.50 × 250,204.50
  4. Step 4: Simplify right side
    165,886.50x = 62,602,291,820.25
  5. Step 5: Solve for x
    x = 62,602,291,820.25/165,886.50
  6. Step 6: Final answer
    x = 377,380.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.