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Finding the Third Proportional to 210,456 and 315,924

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Solution

The third proportional to 210,456 and 315,924 is: 474,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,456 : 315,924 = 315,924 : x
  2. Step 2: Convert to fraction form
    210,456/315,924 = 315,924/x
  3. Step 3: Cross multiply
    210,456x = 315,924 × 315,924
  4. Step 4: Simplify right side
    210,456x = 99,807,973,776
  5. Step 5: Solve for x
    x = 99,807,973,776/210,456
  6. Step 6: Final answer
    x = 474,246.27

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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.