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Finding the Third Proportional to 107,830 and 234,553

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Solution

The third proportional to 107,830 and 234,553 is: 510,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,830 : 234,553 = 234,553 : x
  2. Step 2: Convert to fraction form
    107,830/234,553 = 234,553/x
  3. Step 3: Cross multiply
    107,830x = 234,553 × 234,553
  4. Step 4: Simplify right side
    107,830x = 55,015,109,809
  5. Step 5: Solve for x
    x = 55,015,109,809/107,830
  6. Step 6: Final answer
    x = 510,202.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.