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Finding the Third Proportional to 210,144 and 315,432

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Solution

The third proportional to 210,144 and 315,432 is: 473,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,144 : 315,432 = 315,432 : x
  2. Step 2: Convert to fraction form
    210,144/315,432 = 315,432/x
  3. Step 3: Cross multiply
    210,144x = 315,432 × 315,432
  4. Step 4: Simplify right side
    210,144x = 99,497,346,624
  5. Step 5: Solve for x
    x = 99,497,346,624/210,144
  6. Step 6: Final answer
    x = 473,472.22

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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.