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Finding the Third Proportional to 185,298 and 404,052

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Solution

The third proportional to 185,298 and 404,052 is: 881,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,298 : 404,052 = 404,052 : x
  2. Step 2: Convert to fraction form
    185,298/404,052 = 404,052/x
  3. Step 3: Cross multiply
    185,298x = 404,052 × 404,052
  4. Step 4: Simplify right side
    185,298x = 163,258,018,704
  5. Step 5: Solve for x
    x = 163,258,018,704/185,298
  6. Step 6: Final answer
    x = 881,056.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.