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Finding the Third Proportional to 156,225.75 and 233,316.19

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Solution

The third proportional to 156,225.75 and 233,316.19 is: 348,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,225.75 : 233,316.19 = 233,316.19 : x
  2. Step 2: Convert to fraction form
    156,225.75/233,316.19 = 233,316.19/x
  3. Step 3: Cross multiply
    156,225.75x = 233,316.19 × 233,316.19
  4. Step 4: Simplify right side
    156,225.75x = 54,436,443,349.54
  5. Step 5: Solve for x
    x = 54,436,443,349.54/156,225.75
  6. Step 6: Final answer
    x = 348,447.32

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