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Finding the Third Proportional to 190,022 and 403,363

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Solution

The third proportional to 190,022 and 403,363 is: 856,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,022 : 403,363 = 403,363 : x
  2. Step 2: Convert to fraction form
    190,022/403,363 = 403,363/x
  3. Step 3: Cross multiply
    190,022x = 403,363 × 403,363
  4. Step 4: Simplify right side
    190,022x = 162,701,709,769
  5. Step 5: Solve for x
    x = 162,701,709,769/190,022
  6. Step 6: Final answer
    x = 856,225.65

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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.