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Finding the Third Proportional to 202,000 and 307,194

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Solution

The third proportional to 202,000 and 307,194 is: 467,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,000 : 307,194 = 307,194 : x
  2. Step 2: Convert to fraction form
    202,000/307,194 = 307,194/x
  3. Step 3: Cross multiply
    202,000x = 307,194 × 307,194
  4. Step 4: Simplify right side
    202,000x = 94,368,153,636
  5. Step 5: Solve for x
    x = 94,368,153,636/202,000
  6. Step 6: Final answer
    x = 467,169.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.