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Finding the Third Proportional to 119,281 and 257,244

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Solution

The third proportional to 119,281 and 257,244 is: 554,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,281 : 257,244 = 257,244 : x
  2. Step 2: Convert to fraction form
    119,281/257,244 = 257,244/x
  3. Step 3: Cross multiply
    119,281x = 257,244 × 257,244
  4. Step 4: Simplify right side
    119,281x = 66,174,475,536
  5. Step 5: Solve for x
    x = 66,174,475,536/119,281
  6. Step 6: Final answer
    x = 554,778.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.