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Finding the Third Proportional to 163,318.50 and 256,644

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Solution

The third proportional to 163,318.50 and 256,644 is: 403,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,318.50 : 256,644 = 256,644 : x
  2. Step 2: Convert to fraction form
    163,318.50/256,644 = 256,644/x
  3. Step 3: Cross multiply
    163,318.50x = 256,644 × 256,644
  4. Step 4: Simplify right side
    163,318.50x = 65,866,142,736
  5. Step 5: Solve for x
    x = 65,866,142,736/163,318.50
  6. Step 6: Final answer
    x = 403,298.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.