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Finding the Third Proportional to 177,548 and 382,158

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Solution

The third proportional to 177,548 and 382,158 is: 822,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,548 : 382,158 = 382,158 : x
  2. Step 2: Convert to fraction form
    177,548/382,158 = 382,158/x
  3. Step 3: Cross multiply
    177,548x = 382,158 × 382,158
  4. Step 4: Simplify right side
    177,548x = 146,044,736,964
  5. Step 5: Solve for x
    x = 146,044,736,964/177,548
  6. Step 6: Final answer
    x = 822,564.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.