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Finding the Third Proportional to 148,297.50 and 349,741.13

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Solution

The third proportional to 148,297.50 and 349,741.13 is: 824,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,297.50 : 349,741.13 = 349,741.13 : x
  2. Step 2: Convert to fraction form
    148,297.50/349,741.13 = 349,741.13/x
  3. Step 3: Cross multiply
    148,297.50x = 349,741.13 × 349,741.13
  4. Step 4: Simplify right side
    148,297.50x = 122,318,854,516.27
  5. Step 5: Solve for x
    x = 122,318,854,516.27/148,297.50
  6. Step 6: Final answer
    x = 824,820.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.