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Finding the Third Proportional to 114,731 and 248,526

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Solution

The third proportional to 114,731 and 248,526 is: 538,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,731 : 248,526 = 248,526 : x
  2. Step 2: Convert to fraction form
    114,731/248,526 = 248,526/x
  3. Step 3: Cross multiply
    114,731x = 248,526 × 248,526
  4. Step 4: Simplify right side
    114,731x = 61,765,172,676
  5. Step 5: Solve for x
    x = 61,765,172,676/114,731
  6. Step 6: Final answer
    x = 538,347.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.