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Finding the Third Proportional to 227,838 and 357,921

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Solution

The third proportional to 227,838 and 357,921 is: 562,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,838 : 357,921 = 357,921 : x
  2. Step 2: Convert to fraction form
    227,838/357,921 = 357,921/x
  3. Step 3: Cross multiply
    227,838x = 357,921 × 357,921
  4. Step 4: Simplify right side
    227,838x = 128,107,442,241
  5. Step 5: Solve for x
    x = 128,107,442,241/227,838
  6. Step 6: Final answer
    x = 562,274.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.