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Finding the Third Proportional to 114,588 and 248,832

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Solution

The third proportional to 114,588 and 248,832 is: 540,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,588 : 248,832 = 248,832 : x
  2. Step 2: Convert to fraction form
    114,588/248,832 = 248,832/x
  3. Step 3: Cross multiply
    114,588x = 248,832 × 248,832
  4. Step 4: Simplify right side
    114,588x = 61,917,364,224
  5. Step 5: Solve for x
    x = 61,917,364,224/114,588
  6. Step 6: Final answer
    x = 540,347.72

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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.