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Finding the Third Proportional to 202,369 and 296,997

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Solution

The third proportional to 202,369 and 296,997 is: 435,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,369 : 296,997 = 296,997 : x
  2. Step 2: Convert to fraction form
    202,369/296,997 = 296,997/x
  3. Step 3: Cross multiply
    202,369x = 296,997 × 296,997
  4. Step 4: Simplify right side
    202,369x = 88,207,218,009
  5. Step 5: Solve for x
    x = 88,207,218,009/202,369
  6. Step 6: Final answer
    x = 435,873.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.