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Finding the Third Proportional to 176,882 and 366,431

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Solution

The third proportional to 176,882 and 366,431 is: 759,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,882 : 366,431 = 366,431 : x
  2. Step 2: Convert to fraction form
    176,882/366,431 = 366,431/x
  3. Step 3: Cross multiply
    176,882x = 366,431 × 366,431
  4. Step 4: Simplify right side
    176,882x = 134,271,677,761
  5. Step 5: Solve for x
    x = 134,271,677,761/176,882
  6. Step 6: Final answer
    x = 759,103.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.