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Finding the Third Proportional to 210,119 and 315,394

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Solution

The third proportional to 210,119 and 315,394 is: 473,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,119 : 315,394 = 315,394 : x
  2. Step 2: Convert to fraction form
    210,119/315,394 = 315,394/x
  3. Step 3: Cross multiply
    210,119x = 315,394 × 315,394
  4. Step 4: Simplify right side
    210,119x = 99,473,375,236
  5. Step 5: Solve for x
    x = 99,473,375,236/210,119
  6. Step 6: Final answer
    x = 473,414.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.