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Finding the Third Proportional to 132,535.50 and 276,246

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Solution

The third proportional to 132,535.50 and 276,246 is: 575,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,535.50 : 276,246 = 276,246 : x
  2. Step 2: Convert to fraction form
    132,535.50/276,246 = 276,246/x
  3. Step 3: Cross multiply
    132,535.50x = 276,246 × 276,246
  4. Step 4: Simplify right side
    132,535.50x = 76,311,852,516
  5. Step 5: Solve for x
    x = 76,311,852,516/132,535.50
  6. Step 6: Final answer
    x = 575,784.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.