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Finding the Third Proportional to 254,091.94 and 371,587.50

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Solution

The third proportional to 254,091.94 and 371,587.50 is: 543,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,091.94 : 371,587.50 = 371,587.50 : x
  2. Step 2: Convert to fraction form
    254,091.94/371,587.50 = 371,587.50/x
  3. Step 3: Cross multiply
    254,091.94x = 371,587.50 × 371,587.50
  4. Step 4: Simplify right side
    254,091.94x = 138,077,270,156.25
  5. Step 5: Solve for x
    x = 138,077,270,156.25/254,091.94
  6. Step 6: Final answer
    x = 543,414.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.