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Finding the Third Proportional to 210,118 and 315,392

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Solution

The third proportional to 210,118 and 315,392 is: 473,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,118 : 315,392 = 315,392 : x
  2. Step 2: Convert to fraction form
    210,118/315,392 = 315,392/x
  3. Step 3: Cross multiply
    210,118x = 315,392 × 315,392
  4. Step 4: Simplify right side
    210,118x = 99,472,113,664
  5. Step 5: Solve for x
    x = 99,472,113,664/210,118
  6. Step 6: Final answer
    x = 473,410.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.