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Finding the Third Proportional to 161,156 and 345,640

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Solution

The third proportional to 161,156 and 345,640 is: 741,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,156 : 345,640 = 345,640 : x
  2. Step 2: Convert to fraction form
    161,156/345,640 = 345,640/x
  3. Step 3: Cross multiply
    161,156x = 345,640 × 345,640
  4. Step 4: Simplify right side
    161,156x = 119,467,009,600
  5. Step 5: Solve for x
    x = 119,467,009,600/161,156
  6. Step 6: Final answer
    x = 741,312.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.