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Finding the Third Proportional to 169,470 and 365,208

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Solution

The third proportional to 169,470 and 365,208 is: 787,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,470 : 365,208 = 365,208 : x
  2. Step 2: Convert to fraction form
    169,470/365,208 = 365,208/x
  3. Step 3: Cross multiply
    169,470x = 365,208 × 365,208
  4. Step 4: Simplify right side
    169,470x = 133,376,883,264
  5. Step 5: Solve for x
    x = 133,376,883,264/169,470
  6. Step 6: Final answer
    x = 787,023.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.