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Finding the Third Proportional to 182,203 and 399,506

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Solution

The third proportional to 182,203 and 399,506 is: 875,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,203 : 399,506 = 399,506 : x
  2. Step 2: Convert to fraction form
    182,203/399,506 = 399,506/x
  3. Step 3: Cross multiply
    182,203x = 399,506 × 399,506
  4. Step 4: Simplify right side
    182,203x = 159,605,044,036
  5. Step 5: Solve for x
    x = 159,605,044,036/182,203
  6. Step 6: Final answer
    x = 875,973.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.