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Finding the Third Proportional to 254,258.25 and 371,840.25

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Solution

The third proportional to 254,258.25 and 371,840.25 is: 543,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,258.25 : 371,840.25 = 371,840.25 : x
  2. Step 2: Convert to fraction form
    254,258.25/371,840.25 = 371,840.25/x
  3. Step 3: Cross multiply
    254,258.25x = 371,840.25 × 371,840.25
  4. Step 4: Simplify right side
    254,258.25x = 138,265,171,520.06
  5. Step 5: Solve for x
    x = 138,265,171,520.06/254,258.25
  6. Step 6: Final answer
    x = 543,798.17

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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.