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Finding the Third Proportional to 177,700 and 375,352

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Solution

The third proportional to 177,700 and 375,352 is: 792,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,700 : 375,352 = 375,352 : x
  2. Step 2: Convert to fraction form
    177,700/375,352 = 375,352/x
  3. Step 3: Cross multiply
    177,700x = 375,352 × 375,352
  4. Step 4: Simplify right side
    177,700x = 140,889,123,904
  5. Step 5: Solve for x
    x = 140,889,123,904/177,700
  6. Step 6: Final answer
    x = 792,848.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.