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Finding the Third Proportional to 152,694.75 and 329,056

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Solution

The third proportional to 152,694.75 and 329,056 is: 709,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,694.75 : 329,056 = 329,056 : x
  2. Step 2: Convert to fraction form
    152,694.75/329,056 = 329,056/x
  3. Step 3: Cross multiply
    152,694.75x = 329,056 × 329,056
  4. Step 4: Simplify right side
    152,694.75x = 108,277,851,136
  5. Step 5: Solve for x
    x = 108,277,851,136/152,694.75
  6. Step 6: Final answer
    x = 709,113.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.