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Finding the Third Proportional to 190,026 and 403,371

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Solution

The third proportional to 190,026 and 403,371 is: 856,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,026 : 403,371 = 403,371 : x
  2. Step 2: Convert to fraction form
    190,026/403,371 = 403,371/x
  3. Step 3: Cross multiply
    190,026x = 403,371 × 403,371
  4. Step 4: Simplify right side
    190,026x = 162,708,163,641
  5. Step 5: Solve for x
    x = 162,708,163,641/190,026
  6. Step 6: Final answer
    x = 856,241.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.