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Finding the Third Proportional to 114,502 and 248,063

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Solution

The third proportional to 114,502 and 248,063 is: 537,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,502 : 248,063 = 248,063 : x
  2. Step 2: Convert to fraction form
    114,502/248,063 = 248,063/x
  3. Step 3: Cross multiply
    114,502x = 248,063 × 248,063
  4. Step 4: Simplify right side
    114,502x = 61,535,251,969
  5. Step 5: Solve for x
    x = 61,535,251,969/114,502
  6. Step 6: Final answer
    x = 537,416.39

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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.