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Finding the Third Proportional to 145,467.14 and 225,767.88

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Solution

The third proportional to 145,467.14 and 225,767.88 is: 350,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,467.14 : 225,767.88 = 225,767.88 : x
  2. Step 2: Convert to fraction form
    145,467.14/225,767.88 = 225,767.88/x
  3. Step 3: Cross multiply
    145,467.14x = 225,767.88 × 225,767.88
  4. Step 4: Simplify right side
    145,467.14x = 50,971,136,909.64
  5. Step 5: Solve for x
    x = 50,971,136,909.64/145,467.14
  6. Step 6: Final answer
    x = 350,396.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.