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Finding the Third Proportional to 318,172.50 and 460,127.25

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Solution

The third proportional to 318,172.50 and 460,127.25 is: 665,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,172.50 : 460,127.25 = 460,127.25 : x
  2. Step 2: Convert to fraction form
    318,172.50/460,127.25 = 460,127.25/x
  3. Step 3: Cross multiply
    318,172.50x = 460,127.25 × 460,127.25
  4. Step 4: Simplify right side
    318,172.50x = 211,717,086,192.56
  5. Step 5: Solve for x
    x = 211,717,086,192.56/318,172.50
  6. Step 6: Final answer
    x = 665,416.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.