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Finding the Third Proportional to 159,984 and 238,882.50

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Solution

The third proportional to 159,984 and 238,882.50 is: 356,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,984 : 238,882.50 = 238,882.50 : x
  2. Step 2: Convert to fraction form
    159,984/238,882.50 = 238,882.50/x
  3. Step 3: Cross multiply
    159,984x = 238,882.50 × 238,882.50
  4. Step 4: Simplify right side
    159,984x = 57,064,848,806.25
  5. Step 5: Solve for x
    x = 57,064,848,806.25/159,984
  6. Step 6: Final answer
    x = 356,690.97

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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.