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Finding the Third Proportional to 134,678.38 and 200,849.50

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Solution

The third proportional to 134,678.38 and 200,849.50 is: 299,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,678.38 : 200,849.50 = 200,849.50 : x
  2. Step 2: Convert to fraction form
    134,678.38/200,849.50 = 200,849.50/x
  3. Step 3: Cross multiply
    134,678.38x = 200,849.50 × 200,849.50
  4. Step 4: Simplify right side
    134,678.38x = 40,340,521,650.25
  5. Step 5: Solve for x
    x = 40,340,521,650.25/134,678.38
  6. Step 6: Final answer
    x = 299,532.29

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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.