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Finding the Third Proportional to 87,467 and 183,746.50

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Solution

The third proportional to 87,467 and 183,746.50 is: 386,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,467 : 183,746.50 = 183,746.50 : x
  2. Step 2: Convert to fraction form
    87,467/183,746.50 = 183,746.50/x
  3. Step 3: Cross multiply
    87,467x = 183,746.50 × 183,746.50
  4. Step 4: Simplify right side
    87,467x = 33,762,776,262.25
  5. Step 5: Solve for x
    x = 33,762,776,262.25/87,467
  6. Step 6: Final answer
    x = 386,005.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.