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Finding the Third Proportional to 179,178 and 375,609

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Solution

The third proportional to 179,178 and 375,609 is: 787,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,178 : 375,609 = 375,609 : x
  2. Step 2: Convert to fraction form
    179,178/375,609 = 375,609/x
  3. Step 3: Cross multiply
    179,178x = 375,609 × 375,609
  4. Step 4: Simplify right side
    179,178x = 141,082,120,881
  5. Step 5: Solve for x
    x = 141,082,120,881/179,178
  6. Step 6: Final answer
    x = 787,385.29

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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.