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Finding the Third Proportional to 114,730 and 248,524

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Solution

The third proportional to 114,730 and 248,524 is: 538,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,730 : 248,524 = 248,524 : x
  2. Step 2: Convert to fraction form
    114,730/248,524 = 248,524/x
  3. Step 3: Cross multiply
    114,730x = 248,524 × 248,524
  4. Step 4: Simplify right side
    114,730x = 61,764,178,576
  5. Step 5: Solve for x
    x = 61,764,178,576/114,730
  6. Step 6: Final answer
    x = 538,343.75

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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.