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Finding the Third Proportional to 176,895 and 370,188

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Solution

The third proportional to 176,895 and 370,188 is: 774,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,895 : 370,188 = 370,188 : x
  2. Step 2: Convert to fraction form
    176,895/370,188 = 370,188/x
  3. Step 3: Cross multiply
    176,895x = 370,188 × 370,188
  4. Step 4: Simplify right side
    176,895x = 137,039,155,344
  5. Step 5: Solve for x
    x = 137,039,155,344/176,895
  6. Step 6: Final answer
    x = 774,692.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.