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Finding the Third Proportional to 169,262 and 368,046

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Solution

The third proportional to 169,262 and 368,046 is: 800,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,262 : 368,046 = 368,046 : x
  2. Step 2: Convert to fraction form
    169,262/368,046 = 368,046/x
  3. Step 3: Cross multiply
    169,262x = 368,046 × 368,046
  4. Step 4: Simplify right side
    169,262x = 135,457,858,116
  5. Step 5: Solve for x
    x = 135,457,858,116/169,262
  6. Step 6: Final answer
    x = 800,285.11

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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.