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Finding the Third Proportional to 193,883.06 and 291,029.63

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Solution

The third proportional to 193,883.06 and 291,029.63 is: 436,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,883.06 : 291,029.63 = 291,029.63 : x
  2. Step 2: Convert to fraction form
    193,883.06/291,029.63 = 291,029.63/x
  3. Step 3: Cross multiply
    193,883.06x = 291,029.63 × 291,029.63
  4. Step 4: Simplify right side
    193,883.06x = 84,698,242,627.64
  5. Step 5: Solve for x
    x = 84,698,242,627.64/193,883.06
  6. Step 6: Final answer
    x = 436,852.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.