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Finding the Third Proportional to 190,109 and 411,583

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Solution

The third proportional to 190,109 and 411,583 is: 891,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,109 : 411,583 = 411,583 : x
  2. Step 2: Convert to fraction form
    190,109/411,583 = 411,583/x
  3. Step 3: Cross multiply
    190,109x = 411,583 × 411,583
  4. Step 4: Simplify right side
    190,109x = 169,400,565,889
  5. Step 5: Solve for x
    x = 169,400,565,889/190,109
  6. Step 6: Final answer
    x = 891,070.73

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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.