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Finding the Third Proportional to 182,506.50 and 244,125

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Solution

The third proportional to 182,506.50 and 244,125 is: 326,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,506.50 : 244,125 = 244,125 : x
  2. Step 2: Convert to fraction form
    182,506.50/244,125 = 244,125/x
  3. Step 3: Cross multiply
    182,506.50x = 244,125 × 244,125
  4. Step 4: Simplify right side
    182,506.50x = 59,597,015,625
  5. Step 5: Solve for x
    x = 59,597,015,625/182,506.50
  6. Step 6: Final answer
    x = 326,547.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.