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Finding the Third Proportional to 187,303.50 and 279,848.25

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Solution

The third proportional to 187,303.50 and 279,848.25 is: 418,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,303.50 : 279,848.25 = 279,848.25 : x
  2. Step 2: Convert to fraction form
    187,303.50/279,848.25 = 279,848.25/x
  3. Step 3: Cross multiply
    187,303.50x = 279,848.25 × 279,848.25
  4. Step 4: Simplify right side
    187,303.50x = 78,315,043,028.06
  5. Step 5: Solve for x
    x = 78,315,043,028.06/187,303.50
  6. Step 6: Final answer
    x = 418,118.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.