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Finding the Third Proportional to 199,972 and 432,016

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Solution

The third proportional to 199,972 and 432,016 is: 933,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,972 : 432,016 = 432,016 : x
  2. Step 2: Convert to fraction form
    199,972/432,016 = 432,016/x
  3. Step 3: Cross multiply
    199,972x = 432,016 × 432,016
  4. Step 4: Simplify right side
    199,972x = 186,637,824,256
  5. Step 5: Solve for x
    x = 186,637,824,256/199,972
  6. Step 6: Final answer
    x = 933,319.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.