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Finding the Third Proportional to 210,278 and 315,105

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Solution

The third proportional to 210,278 and 315,105 is: 472,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,278 : 315,105 = 315,105 : x
  2. Step 2: Convert to fraction form
    210,278/315,105 = 315,105/x
  3. Step 3: Cross multiply
    210,278x = 315,105 × 315,105
  4. Step 4: Simplify right side
    210,278x = 99,291,161,025
  5. Step 5: Solve for x
    x = 99,291,161,025/210,278
  6. Step 6: Final answer
    x = 472,189.96

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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.