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Finding the Third Proportional to 84,643.50 and 180,154.50

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Solution

The third proportional to 84,643.50 and 180,154.50 is: 383,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,643.50 : 180,154.50 = 180,154.50 : x
  2. Step 2: Convert to fraction form
    84,643.50/180,154.50 = 180,154.50/x
  3. Step 3: Cross multiply
    84,643.50x = 180,154.50 × 180,154.50
  4. Step 4: Simplify right side
    84,643.50x = 32,455,643,870.25
  5. Step 5: Solve for x
    x = 32,455,643,870.25/84,643.50
  6. Step 6: Final answer
    x = 383,439.29

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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.