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Finding the Third Proportional to 119,224 and 258,952

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Solution

The third proportional to 119,224 and 258,952 is: 562,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,224 : 258,952 = 258,952 : x
  2. Step 2: Convert to fraction form
    119,224/258,952 = 258,952/x
  3. Step 3: Cross multiply
    119,224x = 258,952 × 258,952
  4. Step 4: Simplify right side
    119,224x = 67,056,138,304
  5. Step 5: Solve for x
    x = 67,056,138,304/119,224
  6. Step 6: Final answer
    x = 562,438.25

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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.