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Finding the Third Proportional to 156,188.25 and 342,184.50

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Solution

The third proportional to 156,188.25 and 342,184.50 is: 749,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,188.25 : 342,184.50 = 342,184.50 : x
  2. Step 2: Convert to fraction form
    156,188.25/342,184.50 = 342,184.50/x
  3. Step 3: Cross multiply
    156,188.25x = 342,184.50 × 342,184.50
  4. Step 4: Simplify right side
    156,188.25x = 117,090,232,040.25
  5. Step 5: Solve for x
    x = 117,090,232,040.25/156,188.25
  6. Step 6: Final answer
    x = 749,673.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.