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Finding the Third Proportional to 115,254 and 239,688

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Solution

The third proportional to 115,254 and 239,688 is: 498,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,254 : 239,688 = 239,688 : x
  2. Step 2: Convert to fraction form
    115,254/239,688 = 239,688/x
  3. Step 3: Cross multiply
    115,254x = 239,688 × 239,688
  4. Step 4: Simplify right side
    115,254x = 57,450,337,344
  5. Step 5: Solve for x
    x = 57,450,337,344/115,254
  6. Step 6: Final answer
    x = 498,467.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.