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Finding the Third Proportional to 143,924 and 215,904

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Solution

The third proportional to 143,924 and 215,904 is: 323,883.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,924 : 215,904 = 215,904 : x
  2. Step 2: Convert to fraction form
    143,924/215,904 = 215,904/x
  3. Step 3: Cross multiply
    143,924x = 215,904 × 215,904
  4. Step 4: Simplify right side
    143,924x = 46,614,537,216
  5. Step 5: Solve for x
    x = 46,614,537,216/143,924
  6. Step 6: Final answer
    x = 323,883.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.