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Finding the Third Proportional to 188,776 and 285,582

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Solution

The third proportional to 188,776 and 285,582 is: 432,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,776 : 285,582 = 285,582 : x
  2. Step 2: Convert to fraction form
    188,776/285,582 = 285,582/x
  3. Step 3: Cross multiply
    188,776x = 285,582 × 285,582
  4. Step 4: Simplify right side
    188,776x = 81,557,078,724
  5. Step 5: Solve for x
    x = 81,557,078,724/188,776
  6. Step 6: Final answer
    x = 432,030.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.