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Finding the Third Proportional to 106,346 and 233,657

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Solution

The third proportional to 106,346 and 233,657 is: 513,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,346 : 233,657 = 233,657 : x
  2. Step 2: Convert to fraction form
    106,346/233,657 = 233,657/x
  3. Step 3: Cross multiply
    106,346x = 233,657 × 233,657
  4. Step 4: Simplify right side
    106,346x = 54,595,593,649
  5. Step 5: Solve for x
    x = 54,595,593,649/106,346
  6. Step 6: Final answer
    x = 513,377.03

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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.