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Finding the Third Proportional to 147,656.25 and 322,380

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Solution

The third proportional to 147,656.25 and 322,380 is: 703,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,656.25 : 322,380 = 322,380 : x
  2. Step 2: Convert to fraction form
    147,656.25/322,380 = 322,380/x
  3. Step 3: Cross multiply
    147,656.25x = 322,380 × 322,380
  4. Step 4: Simplify right side
    147,656.25x = 103,928,864,400
  5. Step 5: Solve for x
    x = 103,928,864,400/147,656.25
  6. Step 6: Final answer
    x = 703,856.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.