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Finding the Third Proportional to 119,904 and 262,650

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Solution

The third proportional to 119,904 and 262,650 is: 575,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,904 : 262,650 = 262,650 : x
  2. Step 2: Convert to fraction form
    119,904/262,650 = 262,650/x
  3. Step 3: Cross multiply
    119,904x = 262,650 × 262,650
  4. Step 4: Simplify right side
    119,904x = 68,985,022,500
  5. Step 5: Solve for x
    x = 68,985,022,500/119,904
  6. Step 6: Final answer
    x = 575,335.46

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