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Finding the Third Proportional to 210,016 and 314,940

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Solution

The third proportional to 210,016 and 314,940 is: 472,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,016 : 314,940 = 314,940 : x
  2. Step 2: Convert to fraction form
    210,016/314,940 = 314,940/x
  3. Step 3: Cross multiply
    210,016x = 314,940 × 314,940
  4. Step 4: Simplify right side
    210,016x = 99,187,203,600
  5. Step 5: Solve for x
    x = 99,187,203,600/210,016
  6. Step 6: Final answer
    x = 472,284.03

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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.