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Finding the Third Proportional to 152,317 and 330,056

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Solution

The third proportional to 152,317 and 330,056 is: 715,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,317 : 330,056 = 330,056 : x
  2. Step 2: Convert to fraction form
    152,317/330,056 = 330,056/x
  3. Step 3: Cross multiply
    152,317x = 330,056 × 330,056
  4. Step 4: Simplify right side
    152,317x = 108,936,963,136
  5. Step 5: Solve for x
    x = 108,936,963,136/152,317
  6. Step 6: Final answer
    x = 715,198.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.