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Finding the Third Proportional to 160,046 and 349,621

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Solution

The third proportional to 160,046 and 349,621 is: 763,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,046 : 349,621 = 349,621 : x
  2. Step 2: Convert to fraction form
    160,046/349,621 = 349,621/x
  3. Step 3: Cross multiply
    160,046x = 349,621 × 349,621
  4. Step 4: Simplify right side
    160,046x = 122,234,843,641
  5. Step 5: Solve for x
    x = 122,234,843,641/160,046
  6. Step 6: Final answer
    x = 763,748.20

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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.