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Finding the Third Proportional to 151,169 and 329,970

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Solution

The third proportional to 151,169 and 329,970 is: 720,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,169 : 329,970 = 329,970 : x
  2. Step 2: Convert to fraction form
    151,169/329,970 = 329,970/x
  3. Step 3: Cross multiply
    151,169x = 329,970 × 329,970
  4. Step 4: Simplify right side
    151,169x = 108,880,200,900
  5. Step 5: Solve for x
    x = 108,880,200,900/151,169
  6. Step 6: Final answer
    x = 720,254.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.