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Finding the Third Proportional to 226,995 and 343,648.50

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Solution

The third proportional to 226,995 and 343,648.50 is: 520,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,995 : 343,648.50 = 343,648.50 : x
  2. Step 2: Convert to fraction form
    226,995/343,648.50 = 343,648.50/x
  3. Step 3: Cross multiply
    226,995x = 343,648.50 × 343,648.50
  4. Step 4: Simplify right side
    226,995x = 118,094,291,552.25
  5. Step 5: Solve for x
    x = 118,094,291,552.25/226,995
  6. Step 6: Final answer
    x = 520,250.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.