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Finding the Third Proportional to 185,114.25 and 276,457.50

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Solution

The third proportional to 185,114.25 and 276,457.50 is: 412,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,114.25 : 276,457.50 = 276,457.50 : x
  2. Step 2: Convert to fraction form
    185,114.25/276,457.50 = 276,457.50/x
  3. Step 3: Cross multiply
    185,114.25x = 276,457.50 × 276,457.50
  4. Step 4: Simplify right side
    185,114.25x = 76,428,749,306.25
  5. Step 5: Solve for x
    x = 76,428,749,306.25/185,114.25
  6. Step 6: Final answer
    x = 412,873.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.