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Finding the Third Proportional to 84,300.75 and 180,592.03

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Solution

The third proportional to 84,300.75 and 180,592.03 is: 386,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,300.75 : 180,592.03 = 180,592.03 : x
  2. Step 2: Convert to fraction form
    84,300.75/180,592.03 = 180,592.03/x
  3. Step 3: Cross multiply
    84,300.75x = 180,592.03 × 180,592.03
  4. Step 4: Simplify right side
    84,300.75x = 32,613,481,751.00
  5. Step 5: Solve for x
    x = 32,613,481,751.00/84,300.75
  6. Step 6: Final answer
    x = 386,870.60

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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.