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Finding the Third Proportional to 192,642.19 and 307,643.91

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Solution

The third proportional to 192,642.19 and 307,643.91 is: 491,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,642.19 : 307,643.91 = 307,643.91 : x
  2. Step 2: Convert to fraction form
    192,642.19/307,643.91 = 307,643.91/x
  3. Step 3: Cross multiply
    192,642.19x = 307,643.91 × 307,643.91
  4. Step 4: Simplify right side
    192,642.19x = 94,644,773,052.76
  5. Step 5: Solve for x
    x = 94,644,773,052.76/192,642.19
  6. Step 6: Final answer
    x = 491,298.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.