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Finding the Third Proportional to 102,734 and 222,316

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Solution

The third proportional to 102,734 and 222,316 is: 481,091.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,734 : 222,316 = 222,316 : x
  2. Step 2: Convert to fraction form
    102,734/222,316 = 222,316/x
  3. Step 3: Cross multiply
    102,734x = 222,316 × 222,316
  4. Step 4: Simplify right side
    102,734x = 49,424,403,856
  5. Step 5: Solve for x
    x = 49,424,403,856/102,734
  6. Step 6: Final answer
    x = 481,091.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.