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Finding the Third Proportional to 156,007.13 and 235,113.19

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Solution

The third proportional to 156,007.13 and 235,113.19 is: 354,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,007.13 : 235,113.19 = 235,113.19 : x
  2. Step 2: Convert to fraction form
    156,007.13/235,113.19 = 235,113.19/x
  3. Step 3: Cross multiply
    156,007.13x = 235,113.19 × 235,113.19
  4. Step 4: Simplify right side
    156,007.13x = 55,278,210,936.41
  5. Step 5: Solve for x
    x = 55,278,210,936.41/156,007.13
  6. Step 6: Final answer
    x = 354,331.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.