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Finding the Third Proportional to 152,931 and 336,966

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Solution

The third proportional to 152,931 and 336,966 is: 742,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,931 : 336,966 = 336,966 : x
  2. Step 2: Convert to fraction form
    152,931/336,966 = 336,966/x
  3. Step 3: Cross multiply
    152,931x = 336,966 × 336,966
  4. Step 4: Simplify right side
    152,931x = 113,546,085,156
  5. Step 5: Solve for x
    x = 113,546,085,156/152,931
  6. Step 6: Final answer
    x = 742,466.11

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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.