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Finding the Third Proportional to 119,414 and 257,476

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Solution

The third proportional to 119,414 and 257,476 is: 555,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,414 : 257,476 = 257,476 : x
  2. Step 2: Convert to fraction form
    119,414/257,476 = 257,476/x
  3. Step 3: Cross multiply
    119,414x = 257,476 × 257,476
  4. Step 4: Simplify right side
    119,414x = 66,293,890,576
  5. Step 5: Solve for x
    x = 66,293,890,576/119,414
  6. Step 6: Final answer
    x = 555,160.12

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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.