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Finding the Third Proportional to 145,629 and 226,216.50

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Solution

The third proportional to 145,629 and 226,216.50 is: 351,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,629 : 226,216.50 = 226,216.50 : x
  2. Step 2: Convert to fraction form
    145,629/226,216.50 = 226,216.50/x
  3. Step 3: Cross multiply
    145,629x = 226,216.50 × 226,216.50
  4. Step 4: Simplify right side
    145,629x = 51,173,904,872.25
  5. Step 5: Solve for x
    x = 51,173,904,872.25/145,629
  6. Step 6: Final answer
    x = 351,399.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.