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Finding the Third Proportional to 119,610 and 257,652

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Solution

The third proportional to 119,610 and 257,652 is: 555,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,610 : 257,652 = 257,652 : x
  2. Step 2: Convert to fraction form
    119,610/257,652 = 257,652/x
  3. Step 3: Cross multiply
    119,610x = 257,652 × 257,652
  4. Step 4: Simplify right side
    119,610x = 66,384,553,104
  5. Step 5: Solve for x
    x = 66,384,553,104/119,610
  6. Step 6: Final answer
    x = 555,008.39

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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.