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Finding the Third Proportional to 177,374.81 and 384,274.13

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Solution

The third proportional to 177,374.81 and 384,274.13 is: 832,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,374.81 : 384,274.13 = 384,274.13 : x
  2. Step 2: Convert to fraction form
    177,374.81/384,274.13 = 384,274.13/x
  3. Step 3: Cross multiply
    177,374.81x = 384,274.13 × 384,274.13
  4. Step 4: Simplify right side
    177,374.81x = 147,666,603,144.52
  5. Step 5: Solve for x
    x = 147,666,603,144.52/177,374.81
  6. Step 6: Final answer
    x = 832,511.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.