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Finding the Third Proportional to 118,868.06 and 280,316.25

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Solution

The third proportional to 118,868.06 and 280,316.25 is: 661,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,868.06 : 280,316.25 = 280,316.25 : x
  2. Step 2: Convert to fraction form
    118,868.06/280,316.25 = 280,316.25/x
  3. Step 3: Cross multiply
    118,868.06x = 280,316.25 × 280,316.25
  4. Step 4: Simplify right side
    118,868.06x = 78,577,200,014.06
  5. Step 5: Solve for x
    x = 78,577,200,014.06/118,868.06
  6. Step 6: Final answer
    x = 661,045.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.