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Finding the Third Proportional to 175,178 and 270,935

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Solution

The third proportional to 175,178 and 270,935 is: 419,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,178 : 270,935 = 270,935 : x
  2. Step 2: Convert to fraction form
    175,178/270,935 = 270,935/x
  3. Step 3: Cross multiply
    175,178x = 270,935 × 270,935
  4. Step 4: Simplify right side
    175,178x = 73,405,774,225
  5. Step 5: Solve for x
    x = 73,405,774,225/175,178
  6. Step 6: Final answer
    x = 419,035.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.