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Finding the Third Proportional to 227,414.25 and 355,681.13

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Solution

The third proportional to 227,414.25 and 355,681.13 is: 556,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,414.25 : 355,681.13 = 355,681.13 : x
  2. Step 2: Convert to fraction form
    227,414.25/355,681.13 = 355,681.13/x
  3. Step 3: Cross multiply
    227,414.25x = 355,681.13 × 355,681.13
  4. Step 4: Simplify right side
    227,414.25x = 126,509,062,681.27
  5. Step 5: Solve for x
    x = 126,509,062,681.27/227,414.25
  6. Step 6: Final answer
    x = 556,293.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.