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Finding the Third Proportional to 226,822.50 and 342,055.13

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Solution

The third proportional to 226,822.50 and 342,055.13 is: 515,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,822.50 : 342,055.13 = 342,055.13 : x
  2. Step 2: Convert to fraction form
    226,822.50/342,055.13 = 342,055.13/x
  3. Step 3: Cross multiply
    226,822.50x = 342,055.13 × 342,055.13
  4. Step 4: Simplify right side
    226,822.50x = 117,001,708,538.77
  5. Step 5: Solve for x
    x = 117,001,708,538.77/226,822.50
  6. Step 6: Final answer
    x = 515,829.38

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Why These Related Problems?

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