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Finding the Third Proportional to 225,816.75 and 309,646.13

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Solution

The third proportional to 225,816.75 and 309,646.13 is: 424,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,816.75 : 309,646.13 = 309,646.13 : x
  2. Step 2: Convert to fraction form
    225,816.75/309,646.13 = 309,646.13/x
  3. Step 3: Cross multiply
    225,816.75x = 309,646.13 × 309,646.13
  4. Step 4: Simplify right side
    225,816.75x = 95,880,722,727.52
  5. Step 5: Solve for x
    x = 95,880,722,727.52/225,816.75
  6. Step 6: Final answer
    x = 424,595.26

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Why These Related Problems?

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