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Finding the Third Proportional to 210,082 and 315,276

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Solution

The third proportional to 210,082 and 315,276 is: 473,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,082 : 315,276 = 315,276 : x
  2. Step 2: Convert to fraction form
    210,082/315,276 = 315,276/x
  3. Step 3: Cross multiply
    210,082x = 315,276 × 315,276
  4. Step 4: Simplify right side
    210,082x = 99,398,956,176
  5. Step 5: Solve for x
    x = 99,398,956,176/210,082
  6. Step 6: Final answer
    x = 473,143.61

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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.