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Finding the Third Proportional to 202,297.50 and 291,397.50

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Solution

The third proportional to 202,297.50 and 291,397.50 is: 419,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,297.50 : 291,397.50 = 291,397.50 : x
  2. Step 2: Convert to fraction form
    202,297.50/291,397.50 = 291,397.50/x
  3. Step 3: Cross multiply
    202,297.50x = 291,397.50 × 291,397.50
  4. Step 4: Simplify right side
    202,297.50x = 84,912,503,006.25
  5. Step 5: Solve for x
    x = 84,912,503,006.25/202,297.50
  6. Step 6: Final answer
    x = 419,740.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.