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Finding the Third Proportional to 161,224 and 345,776

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Solution

The third proportional to 161,224 and 345,776 is: 741,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,224 : 345,776 = 345,776 : x
  2. Step 2: Convert to fraction form
    161,224/345,776 = 345,776/x
  3. Step 3: Cross multiply
    161,224x = 345,776 × 345,776
  4. Step 4: Simplify right side
    161,224x = 119,561,042,176
  5. Step 5: Solve for x
    x = 119,561,042,176/161,224
  6. Step 6: Final answer
    x = 741,583.40

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Why These Related Problems?

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