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Finding the Third Proportional to 180,300.94 and 279,166.50

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Solution

The third proportional to 180,300.94 and 279,166.50 is: 432,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,300.94 : 279,166.50 = 279,166.50 : x
  2. Step 2: Convert to fraction form
    180,300.94/279,166.50 = 279,166.50/x
  3. Step 3: Cross multiply
    180,300.94x = 279,166.50 × 279,166.50
  4. Step 4: Simplify right side
    180,300.94x = 77,933,934,722.25
  5. Step 5: Solve for x
    x = 77,933,934,722.25/180,300.94
  6. Step 6: Final answer
    x = 432,243.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.