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Finding the Third Proportional to 84,253.50 and 180,009

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Solution

The third proportional to 84,253.50 and 180,009 is: 384,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,253.50 : 180,009 = 180,009 : x
  2. Step 2: Convert to fraction form
    84,253.50/180,009 = 180,009/x
  3. Step 3: Cross multiply
    84,253.50x = 180,009 × 180,009
  4. Step 4: Simplify right side
    84,253.50x = 32,403,240,081
  5. Step 5: Solve for x
    x = 32,403,240,081/84,253.50
  6. Step 6: Final answer
    x = 384,592.21

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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.