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Finding the Third Proportional to 190,963 and 420,060

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Solution

The third proportional to 190,963 and 420,060 is: 924,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,963 : 420,060 = 420,060 : x
  2. Step 2: Convert to fraction form
    190,963/420,060 = 420,060/x
  3. Step 3: Cross multiply
    190,963x = 420,060 × 420,060
  4. Step 4: Simplify right side
    190,963x = 176,450,403,600
  5. Step 5: Solve for x
    x = 176,450,403,600/190,963
  6. Step 6: Final answer
    x = 924,003.10

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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.