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Finding the Third Proportional to 227,130 and 352,692

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Solution

The third proportional to 227,130 and 352,692 is: 547,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,130 : 352,692 = 352,692 : x
  2. Step 2: Convert to fraction form
    227,130/352,692 = 352,692/x
  3. Step 3: Cross multiply
    227,130x = 352,692 × 352,692
  4. Step 4: Simplify right side
    227,130x = 124,391,646,864
  5. Step 5: Solve for x
    x = 124,391,646,864/227,130
  6. Step 6: Final answer
    x = 547,667.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.