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Finding the Third Proportional to 199,858 and 432,332

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Solution

The third proportional to 199,858 and 432,332 is: 935,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,858 : 432,332 = 432,332 : x
  2. Step 2: Convert to fraction form
    199,858/432,332 = 432,332/x
  3. Step 3: Cross multiply
    199,858x = 432,332 × 432,332
  4. Step 4: Simplify right side
    199,858x = 186,910,958,224
  5. Step 5: Solve for x
    x = 186,910,958,224/199,858
  6. Step 6: Final answer
    x = 935,218.80

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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.