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Finding the Third Proportional to 153,577.50 and 319,416.75

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Solution

The third proportional to 153,577.50 and 319,416.75 is: 664,335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,577.50 : 319,416.75 = 319,416.75 : x
  2. Step 2: Convert to fraction form
    153,577.50/319,416.75 = 319,416.75/x
  3. Step 3: Cross multiply
    153,577.50x = 319,416.75 × 319,416.75
  4. Step 4: Simplify right side
    153,577.50x = 102,027,060,180.56
  5. Step 5: Solve for x
    x = 102,027,060,180.56/153,577.50
  6. Step 6: Final answer
    x = 664,335.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.