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Finding the Third Proportional to 101,316 and 234,530

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Solution

The third proportional to 101,316 and 234,530 is: 542,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,316 : 234,530 = 234,530 : x
  2. Step 2: Convert to fraction form
    101,316/234,530 = 234,530/x
  3. Step 3: Cross multiply
    101,316x = 234,530 × 234,530
  4. Step 4: Simplify right side
    101,316x = 55,004,320,900
  5. Step 5: Solve for x
    x = 55,004,320,900/101,316
  6. Step 6: Final answer
    x = 542,898.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.