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Finding the Third Proportional to 190,971 and 420,076

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Solution

The third proportional to 190,971 and 420,076 is: 924,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,971 : 420,076 = 420,076 : x
  2. Step 2: Convert to fraction form
    190,971/420,076 = 420,076/x
  3. Step 3: Cross multiply
    190,971x = 420,076 × 420,076
  4. Step 4: Simplify right side
    190,971x = 176,463,845,776
  5. Step 5: Solve for x
    x = 176,463,845,776/190,971
  6. Step 6: Final answer
    x = 924,034.78

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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.