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Finding the Third Proportional to 114,214 and 245,438

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Solution

The third proportional to 114,214 and 245,438 is: 527,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,214 : 245,438 = 245,438 : x
  2. Step 2: Convert to fraction form
    114,214/245,438 = 245,438/x
  3. Step 3: Cross multiply
    114,214x = 245,438 × 245,438
  4. Step 4: Simplify right side
    114,214x = 60,239,811,844
  5. Step 5: Solve for x
    x = 60,239,811,844/114,214
  6. Step 6: Final answer
    x = 527,429.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.