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Finding the Third Proportional to 160,581 and 349,760

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Solution

The third proportional to 160,581 and 349,760 is: 761,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,581 : 349,760 = 349,760 : x
  2. Step 2: Convert to fraction form
    160,581/349,760 = 349,760/x
  3. Step 3: Cross multiply
    160,581x = 349,760 × 349,760
  4. Step 4: Simplify right side
    160,581x = 122,332,057,600
  5. Step 5: Solve for x
    x = 122,332,057,600/160,581
  6. Step 6: Final answer
    x = 761,809.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.