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Finding the Third Proportional to 84,409 and 180,117.75

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Solution

The third proportional to 84,409 and 180,117.75 is: 384,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,409 : 180,117.75 = 180,117.75 : x
  2. Step 2: Convert to fraction form
    84,409/180,117.75 = 180,117.75/x
  3. Step 3: Cross multiply
    84,409x = 180,117.75 × 180,117.75
  4. Step 4: Simplify right side
    84,409x = 32,442,403,865.06
  5. Step 5: Solve for x
    x = 32,442,403,865.06/84,409
  6. Step 6: Final answer
    x = 384,347.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.