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Finding the Third Proportional to 114,768 and 248,594

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Solution

The third proportional to 114,768 and 248,594 is: 538,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,768 : 248,594 = 248,594 : x
  2. Step 2: Convert to fraction form
    114,768/248,594 = 248,594/x
  3. Step 3: Cross multiply
    114,768x = 248,594 × 248,594
  4. Step 4: Simplify right side
    114,768x = 61,798,976,836
  5. Step 5: Solve for x
    x = 61,798,976,836/114,768
  6. Step 6: Final answer
    x = 538,468.71

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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.