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Finding the Third Proportional to 190,358 and 418,099

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Solution

The third proportional to 190,358 and 418,099 is: 918,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,358 : 418,099 = 418,099 : x
  2. Step 2: Convert to fraction form
    190,358/418,099 = 418,099/x
  3. Step 3: Cross multiply
    190,358x = 418,099 × 418,099
  4. Step 4: Simplify right side
    190,358x = 174,806,773,801
  5. Step 5: Solve for x
    x = 174,806,773,801/190,358
  6. Step 6: Final answer
    x = 918,305.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.