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Finding the Third Proportional to 237,777.19 and 510,136.31

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Solution

The third proportional to 237,777.19 and 510,136.31 is: 1,094,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,777.19 : 510,136.31 = 510,136.31 : x
  2. Step 2: Convert to fraction form
    237,777.19/510,136.31 = 510,136.31/x
  3. Step 3: Cross multiply
    237,777.19x = 510,136.31 × 510,136.31
  4. Step 4: Simplify right side
    237,777.19x = 260,239,057,331.10
  5. Step 5: Solve for x
    x = 260,239,057,331.10/237,777.19
  6. Step 6: Final answer
    x = 1,094,466.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.