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Finding the Third Proportional to 225,962.16 and 309,843.98

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Solution

The third proportional to 225,962.16 and 309,843.98 is: 424,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,962.16 : 309,843.98 = 309,843.98 : x
  2. Step 2: Convert to fraction form
    225,962.16/309,843.98 = 309,843.98/x
  3. Step 3: Cross multiply
    225,962.16x = 309,843.98 × 309,843.98
  4. Step 4: Simplify right side
    225,962.16x = 96,003,294,653.38
  5. Step 5: Solve for x
    x = 96,003,294,653.38/225,962.16
  6. Step 6: Final answer
    x = 424,864.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.