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Finding the Third Proportional to 178,536 and 370,192

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Solution

The third proportional to 178,536 and 370,192 is: 767,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,536 : 370,192 = 370,192 : x
  2. Step 2: Convert to fraction form
    178,536/370,192 = 370,192/x
  3. Step 3: Cross multiply
    178,536x = 370,192 × 370,192
  4. Step 4: Simplify right side
    178,536x = 137,042,116,864
  5. Step 5: Solve for x
    x = 137,042,116,864/178,536
  6. Step 6: Final answer
    x = 767,588.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.