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Finding the Third Proportional to 203,136.19 and 432,515.53

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Solution

The third proportional to 203,136.19 and 432,515.53 is: 920,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,136.19 : 432,515.53 = 432,515.53 : x
  2. Step 2: Convert to fraction form
    203,136.19/432,515.53 = 432,515.53/x
  3. Step 3: Cross multiply
    203,136.19x = 432,515.53 × 432,515.53
  4. Step 4: Simplify right side
    203,136.19x = 187,069,684,772.47
  5. Step 5: Solve for x
    x = 187,069,684,772.47/203,136.19
  6. Step 6: Final answer
    x = 920,907.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.