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Finding the Third Proportional to 251,866.50 and 349,087.50

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Solution

The third proportional to 251,866.50 and 349,087.50 is: 483,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,866.50 : 349,087.50 = 349,087.50 : x
  2. Step 2: Convert to fraction form
    251,866.50/349,087.50 = 349,087.50/x
  3. Step 3: Cross multiply
    251,866.50x = 349,087.50 × 349,087.50
  4. Step 4: Simplify right side
    251,866.50x = 121,862,082,656.25
  5. Step 5: Solve for x
    x = 121,862,082,656.25/251,866.50
  6. Step 6: Final answer
    x = 483,836.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.