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Finding the Third Proportional to 161,569 and 246,727.50

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Solution

The third proportional to 161,569 and 246,727.50 is: 376,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,569 : 246,727.50 = 246,727.50 : x
  2. Step 2: Convert to fraction form
    161,569/246,727.50 = 246,727.50/x
  3. Step 3: Cross multiply
    161,569x = 246,727.50 × 246,727.50
  4. Step 4: Simplify right side
    161,569x = 60,874,459,256.25
  5. Step 5: Solve for x
    x = 60,874,459,256.25/161,569
  6. Step 6: Final answer
    x = 376,770.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.