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Finding the Third Proportional to 134,368 and 200,850

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Solution

The third proportional to 134,368 and 200,850 is: 300,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,368 : 200,850 = 200,850 : x
  2. Step 2: Convert to fraction form
    134,368/200,850 = 200,850/x
  3. Step 3: Cross multiply
    134,368x = 200,850 × 200,850
  4. Step 4: Simplify right side
    134,368x = 40,340,722,500
  5. Step 5: Solve for x
    x = 40,340,722,500/134,368
  6. Step 6: Final answer
    x = 300,225.67

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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.