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Finding the Third Proportional to 164,346 and 354,882

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Solution

The third proportional to 164,346 and 354,882 is: 766,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,346 : 354,882 = 354,882 : x
  2. Step 2: Convert to fraction form
    164,346/354,882 = 354,882/x
  3. Step 3: Cross multiply
    164,346x = 354,882 × 354,882
  4. Step 4: Simplify right side
    164,346x = 125,941,233,924
  5. Step 5: Solve for x
    x = 125,941,233,924/164,346
  6. Step 6: Final answer
    x = 766,317.61

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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.