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Finding the Third Proportional to 136,346 and 291,644

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Solution

The third proportional to 136,346 and 291,644 is: 623,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,346 : 291,644 = 291,644 : x
  2. Step 2: Convert to fraction form
    136,346/291,644 = 291,644/x
  3. Step 3: Cross multiply
    136,346x = 291,644 × 291,644
  4. Step 4: Simplify right side
    136,346x = 85,056,222,736
  5. Step 5: Solve for x
    x = 85,056,222,736/136,346
  6. Step 6: Final answer
    x = 623,826.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.