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Finding the Third Proportional to 114,738 and 248,541

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Solution

The third proportional to 114,738 and 248,541 is: 538,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,738 : 248,541 = 248,541 : x
  2. Step 2: Convert to fraction form
    114,738/248,541 = 248,541/x
  3. Step 3: Cross multiply
    114,738x = 248,541 × 248,541
  4. Step 4: Simplify right side
    114,738x = 61,772,628,681
  5. Step 5: Solve for x
    x = 61,772,628,681/114,738
  6. Step 6: Final answer
    x = 538,379.86

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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.