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Finding the Third Proportional to 179,496 and 388,696

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Solution

The third proportional to 179,496 and 388,696 is: 841,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,496 : 388,696 = 388,696 : x
  2. Step 2: Convert to fraction form
    179,496/388,696 = 388,696/x
  3. Step 3: Cross multiply
    179,496x = 388,696 × 388,696
  4. Step 4: Simplify right side
    179,496x = 151,084,580,416
  5. Step 5: Solve for x
    x = 151,084,580,416/179,496
  6. Step 6: Final answer
    x = 841,715.58

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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.