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Finding the Third Proportional to 176,274 and 370,692

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Solution

The third proportional to 176,274 and 370,692 is: 779,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,274 : 370,692 = 370,692 : x
  2. Step 2: Convert to fraction form
    176,274/370,692 = 370,692/x
  3. Step 3: Cross multiply
    176,274x = 370,692 × 370,692
  4. Step 4: Simplify right side
    176,274x = 137,412,558,864
  5. Step 5: Solve for x
    x = 137,412,558,864/176,274
  6. Step 6: Final answer
    x = 779,539.57

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.