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Finding the Third Proportional to 151,827.75 and 322,335.75

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Solution

The third proportional to 151,827.75 and 322,335.75 is: 684,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,827.75 : 322,335.75 = 322,335.75 : x
  2. Step 2: Convert to fraction form
    151,827.75/322,335.75 = 322,335.75/x
  3. Step 3: Cross multiply
    151,827.75x = 322,335.75 × 322,335.75
  4. Step 4: Simplify right side
    151,827.75x = 103,900,335,728.06
  5. Step 5: Solve for x
    x = 103,900,335,728.06/151,827.75
  6. Step 6: Final answer
    x = 684,330.34

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.