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Finding the Third Proportional to 156,224.25 and 233,314.25

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Solution

The third proportional to 156,224.25 and 233,314.25 is: 348,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,224.25 : 233,314.25 = 233,314.25 : x
  2. Step 2: Convert to fraction form
    156,224.25/233,314.25 = 233,314.25/x
  3. Step 3: Cross multiply
    156,224.25x = 233,314.25 × 233,314.25
  4. Step 4: Simplify right side
    156,224.25x = 54,435,539,253.06
  5. Step 5: Solve for x
    x = 54,435,539,253.06/156,224.25
  6. Step 6: Final answer
    x = 348,444.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.