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Finding the Third Proportional to 199,761 and 432,786

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Solution

The third proportional to 199,761 and 432,786 is: 937,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,761 : 432,786 = 432,786 : x
  2. Step 2: Convert to fraction form
    199,761/432,786 = 432,786/x
  3. Step 3: Cross multiply
    199,761x = 432,786 × 432,786
  4. Step 4: Simplify right side
    199,761x = 187,303,721,796
  5. Step 5: Solve for x
    x = 187,303,721,796/199,761
  6. Step 6: Final answer
    x = 937,639.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.