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Finding the Third Proportional to 84,328.50 and 180,613.50

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Solution

The third proportional to 84,328.50 and 180,613.50 is: 386,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,328.50 : 180,613.50 = 180,613.50 : x
  2. Step 2: Convert to fraction form
    84,328.50/180,613.50 = 180,613.50/x
  3. Step 3: Cross multiply
    84,328.50x = 180,613.50 × 180,613.50
  4. Step 4: Simplify right side
    84,328.50x = 32,621,236,382.25
  5. Step 5: Solve for x
    x = 32,621,236,382.25/84,328.50
  6. Step 6: Final answer
    x = 386,835.25

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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.