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Finding the Third Proportional to 248,153.50 and 371,238.50

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Solution

The third proportional to 248,153.50 and 371,238.50 is: 555,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,153.50 : 371,238.50 = 371,238.50 : x
  2. Step 2: Convert to fraction form
    248,153.50/371,238.50 = 371,238.50/x
  3. Step 3: Cross multiply
    248,153.50x = 371,238.50 × 371,238.50
  4. Step 4: Simplify right side
    248,153.50x = 137,818,023,882.25
  5. Step 5: Solve for x
    x = 137,818,023,882.25/248,153.50
  6. Step 6: Final answer
    x = 555,374.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.