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Finding the Third Proportional to 177,374.81 and 275,389.88

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Solution

The third proportional to 177,374.81 and 275,389.88 is: 427,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,374.81 : 275,389.88 = 275,389.88 : x
  2. Step 2: Convert to fraction form
    177,374.81/275,389.88 = 275,389.88/x
  3. Step 3: Cross multiply
    177,374.81x = 275,389.88 × 275,389.88
  4. Step 4: Simplify right side
    177,374.81x = 75,839,583,252.52
  5. Step 5: Solve for x
    x = 75,839,583,252.52/177,374.81
  6. Step 6: Final answer
    x = 427,566.81

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Why These Related Problems?

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