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Finding the Third Proportional to 202,209 and 306,098

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Solution

The third proportional to 202,209 and 306,098 is: 463,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209 : 306,098 = 306,098 : x
  2. Step 2: Convert to fraction form
    202,209/306,098 = 306,098/x
  3. Step 3: Cross multiply
    202,209x = 306,098 × 306,098
  4. Step 4: Simplify right side
    202,209x = 93,695,985,604
  5. Step 5: Solve for x
    x = 93,695,985,604/202,209
  6. Step 6: Final answer
    x = 463,362.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.