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Finding the Third Proportional to 119,908 and 262,658

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Solution

The third proportional to 119,908 and 262,658 is: 575,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,908 : 262,658 = 262,658 : x
  2. Step 2: Convert to fraction form
    119,908/262,658 = 262,658/x
  3. Step 3: Cross multiply
    119,908x = 262,658 × 262,658
  4. Step 4: Simplify right side
    119,908x = 68,989,224,964
  5. Step 5: Solve for x
    x = 68,989,224,964/119,908
  6. Step 6: Final answer
    x = 575,351.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.