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Finding the Third Proportional to 114,734 and 248,532

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Solution

The third proportional to 114,734 and 248,532 is: 538,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,734 : 248,532 = 248,532 : x
  2. Step 2: Convert to fraction form
    114,734/248,532 = 248,532/x
  3. Step 3: Cross multiply
    114,734x = 248,532 × 248,532
  4. Step 4: Simplify right side
    114,734x = 61,768,155,024
  5. Step 5: Solve for x
    x = 61,768,155,024/114,734
  6. Step 6: Final answer
    x = 538,359.64

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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.