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Finding the Third Proportional to 177,233.63 and 388,909.69

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Solution

The third proportional to 177,233.63 and 388,909.69 is: 853,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,233.63 : 388,909.69 = 388,909.69 : x
  2. Step 2: Convert to fraction form
    177,233.63/388,909.69 = 388,909.69/x
  3. Step 3: Cross multiply
    177,233.63x = 388,909.69 × 388,909.69
  4. Step 4: Simplify right side
    177,233.63x = 151,250,745,031.35
  5. Step 5: Solve for x
    x = 151,250,745,031.35/177,233.63
  6. Step 6: Final answer
    x = 853,397.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.