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Finding the Third Proportional to 135,472.50 and 201,246

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Solution

The third proportional to 135,472.50 and 201,246 is: 298,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,472.50 : 201,246 = 201,246 : x
  2. Step 2: Convert to fraction form
    135,472.50/201,246 = 201,246/x
  3. Step 3: Cross multiply
    135,472.50x = 201,246 × 201,246
  4. Step 4: Simplify right side
    135,472.50x = 40,499,952,516
  5. Step 5: Solve for x
    x = 40,499,952,516/135,472.50
  6. Step 6: Final answer
    x = 298,953.31

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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.