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Finding the Third Proportional to 84,321 and 180,595.50

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Solution

The third proportional to 84,321 and 180,595.50 is: 386,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,321 : 180,595.50 = 180,595.50 : x
  2. Step 2: Convert to fraction form
    84,321/180,595.50 = 180,595.50/x
  3. Step 3: Cross multiply
    84,321x = 180,595.50 × 180,595.50
  4. Step 4: Simplify right side
    84,321x = 32,614,734,620.25
  5. Step 5: Solve for x
    x = 32,614,734,620.25/84,321
  6. Step 6: Final answer
    x = 386,792.55

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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.