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Finding the Third Proportional to 119,464.50 and 250,431

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Solution

The third proportional to 119,464.50 and 250,431 is: 524,973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,464.50 : 250,431 = 250,431 : x
  2. Step 2: Convert to fraction form
    119,464.50/250,431 = 250,431/x
  3. Step 3: Cross multiply
    119,464.50x = 250,431 × 250,431
  4. Step 4: Simplify right side
    119,464.50x = 62,715,685,761
  5. Step 5: Solve for x
    x = 62,715,685,761/119,464.50
  6. Step 6: Final answer
    x = 524,973.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.