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Finding the Third Proportional to 210,096 and 315,291

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Solution

The third proportional to 210,096 and 315,291 is: 473,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,096 : 315,291 = 315,291 : x
  2. Step 2: Convert to fraction form
    210,096/315,291 = 315,291/x
  3. Step 3: Cross multiply
    210,096x = 315,291 × 315,291
  4. Step 4: Simplify right side
    210,096x = 99,408,414,681
  5. Step 5: Solve for x
    x = 99,408,414,681/210,096
  6. Step 6: Final answer
    x = 473,157.10

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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.