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Finding the Third Proportional to 190,080 and 441,982

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Solution

The third proportional to 190,080 and 441,982 is: 1,027,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,080 : 441,982 = 441,982 : x
  2. Step 2: Convert to fraction form
    190,080/441,982 = 441,982/x
  3. Step 3: Cross multiply
    190,080x = 441,982 × 441,982
  4. Step 4: Simplify right side
    190,080x = 195,348,088,324
  5. Step 5: Solve for x
    x = 195,348,088,324/190,080
  6. Step 6: Final answer
    x = 1,027,715.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.