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Finding the Third Proportional to 152,131.50 and 324,625

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Solution

The third proportional to 152,131.50 and 324,625 is: 692,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,131.50 : 324,625 = 324,625 : x
  2. Step 2: Convert to fraction form
    152,131.50/324,625 = 324,625/x
  3. Step 3: Cross multiply
    152,131.50x = 324,625 × 324,625
  4. Step 4: Simplify right side
    152,131.50x = 105,381,390,625
  5. Step 5: Solve for x
    x = 105,381,390,625/152,131.50
  6. Step 6: Final answer
    x = 692,699.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.