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Finding the Third Proportional to 210,839.63 and 337,219.88

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Solution

The third proportional to 210,839.63 and 337,219.88 is: 539,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,839.63 : 337,219.88 = 337,219.88 : x
  2. Step 2: Convert to fraction form
    210,839.63/337,219.88 = 337,219.88/x
  3. Step 3: Cross multiply
    210,839.63x = 337,219.88 × 337,219.88
  4. Step 4: Simplify right side
    210,839.63x = 113,717,244,095.02
  5. Step 5: Solve for x
    x = 113,717,244,095.02/210,839.63
  6. Step 6: Final answer
    x = 539,354.23

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Why These Related Problems?

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