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Finding the Third Proportional to 179,498 and 388,714

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Solution

The third proportional to 179,498 and 388,714 is: 841,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,498 : 388,714 = 388,714 : x
  2. Step 2: Convert to fraction form
    179,498/388,714 = 388,714/x
  3. Step 3: Cross multiply
    179,498x = 388,714 × 388,714
  4. Step 4: Simplify right side
    179,498x = 151,098,573,796
  5. Step 5: Solve for x
    x = 151,098,573,796/179,498
  6. Step 6: Final answer
    x = 841,784.16

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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.