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Finding the Third Proportional to 169,426 and 368,364

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Solution

The third proportional to 169,426 and 368,364 is: 800,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,426 : 368,364 = 368,364 : x
  2. Step 2: Convert to fraction form
    169,426/368,364 = 368,364/x
  3. Step 3: Cross multiply
    169,426x = 368,364 × 368,364
  4. Step 4: Simplify right side
    169,426x = 135,692,036,496
  5. Step 5: Solve for x
    x = 135,692,036,496/169,426
  6. Step 6: Final answer
    x = 800,892.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.