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Finding the Third Proportional to 152,056 and 352,376

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Solution

The third proportional to 152,056 and 352,376 is: 816,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,056 : 352,376 = 352,376 : x
  2. Step 2: Convert to fraction form
    152,056/352,376 = 352,376/x
  3. Step 3: Cross multiply
    152,056x = 352,376 × 352,376
  4. Step 4: Simplify right side
    152,056x = 124,168,845,376
  5. Step 5: Solve for x
    x = 124,168,845,376/152,056
  6. Step 6: Final answer
    x = 816,599.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.