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Finding the Third Proportional to 248,972 and 377,219

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Solution

The third proportional to 248,972 and 377,219 is: 571,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,972 : 377,219 = 377,219 : x
  2. Step 2: Convert to fraction form
    248,972/377,219 = 377,219/x
  3. Step 3: Cross multiply
    248,972x = 377,219 × 377,219
  4. Step 4: Simplify right side
    248,972x = 142,294,173,961
  5. Step 5: Solve for x
    x = 142,294,173,961/248,972
  6. Step 6: Final answer
    x = 571,526.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.