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Finding the Third Proportional to 210,014 and 336,890

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Solution

The third proportional to 210,014 and 336,890 is: 540,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,014 : 336,890 = 336,890 : x
  2. Step 2: Convert to fraction form
    210,014/336,890 = 336,890/x
  3. Step 3: Cross multiply
    210,014x = 336,890 × 336,890
  4. Step 4: Simplify right side
    210,014x = 113,494,872,100
  5. Step 5: Solve for x
    x = 113,494,872,100/210,014
  6. Step 6: Final answer
    x = 540,415.74

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.