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Finding the Third Proportional to 202,205 and 306,092

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Solution

The third proportional to 202,205 and 306,092 is: 463,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,205 : 306,092 = 306,092 : x
  2. Step 2: Convert to fraction form
    202,205/306,092 = 306,092/x
  3. Step 3: Cross multiply
    202,205x = 306,092 × 306,092
  4. Step 4: Simplify right side
    202,205x = 93,692,312,464
  5. Step 5: Solve for x
    x = 93,692,312,464/202,205
  6. Step 6: Final answer
    x = 463,353.09

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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.