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Finding the Third Proportional to 254,845.50 and 356,444.25

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Solution

The third proportional to 254,845.50 and 356,444.25 is: 498,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,845.50 : 356,444.25 = 356,444.25 : x
  2. Step 2: Convert to fraction form
    254,845.50/356,444.25 = 356,444.25/x
  3. Step 3: Cross multiply
    254,845.50x = 356,444.25 × 356,444.25
  4. Step 4: Simplify right side
    254,845.50x = 127,052,503,358.06
  5. Step 5: Solve for x
    x = 127,052,503,358.06/254,845.50
  6. Step 6: Final answer
    x = 498,547.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.