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Finding the Third Proportional to 161,984 and 353,504

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Solution

The third proportional to 161,984 and 353,504 is: 771,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,984 : 353,504 = 353,504 : x
  2. Step 2: Convert to fraction form
    161,984/353,504 = 353,504/x
  3. Step 3: Cross multiply
    161,984x = 353,504 × 353,504
  4. Step 4: Simplify right side
    161,984x = 124,965,078,016
  5. Step 5: Solve for x
    x = 124,965,078,016/161,984
  6. Step 6: Final answer
    x = 771,465.56

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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.