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Finding the Third Proportional to 156,914.25 and 342,986.25

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Solution

The third proportional to 156,914.25 and 342,986.25 is: 749,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,914.25 : 342,986.25 = 342,986.25 : x
  2. Step 2: Convert to fraction form
    156,914.25/342,986.25 = 342,986.25/x
  3. Step 3: Cross multiply
    156,914.25x = 342,986.25 × 342,986.25
  4. Step 4: Simplify right side
    156,914.25x = 117,639,567,689.06
  5. Step 5: Solve for x
    x = 117,639,567,689.06/156,914.25
  6. Step 6: Final answer
    x = 749,706.08

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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.