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Finding the Third Proportional to 101,830 and 223,584

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Solution

The third proportional to 101,830 and 223,584 is: 490,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,830 : 223,584 = 223,584 : x
  2. Step 2: Convert to fraction form
    101,830/223,584 = 223,584/x
  3. Step 3: Cross multiply
    101,830x = 223,584 × 223,584
  4. Step 4: Simplify right side
    101,830x = 49,989,805,056
  5. Step 5: Solve for x
    x = 49,989,805,056/101,830
  6. Step 6: Final answer
    x = 490,914.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.