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Finding the Third Proportional to 210,829.50 and 337,203

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Solution

The third proportional to 210,829.50 and 337,203 is: 539,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,829.50 : 337,203 = 337,203 : x
  2. Step 2: Convert to fraction form
    210,829.50/337,203 = 337,203/x
  3. Step 3: Cross multiply
    210,829.50x = 337,203 × 337,203
  4. Step 4: Simplify right side
    210,829.50x = 113,705,863,209
  5. Step 5: Solve for x
    x = 113,705,863,209/210,829.50
  6. Step 6: Final answer
    x = 539,326.15

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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.