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Finding the Third Proportional to 182,020 and 284,913

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Solution

The third proportional to 182,020 and 284,913 is: 445,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,020 : 284,913 = 284,913 : x
  2. Step 2: Convert to fraction form
    182,020/284,913 = 284,913/x
  3. Step 3: Cross multiply
    182,020x = 284,913 × 284,913
  4. Step 4: Simplify right side
    182,020x = 81,175,417,569
  5. Step 5: Solve for x
    x = 81,175,417,569/182,020
  6. Step 6: Final answer
    x = 445,969.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.