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Finding the Third Proportional to 175,792 and 364,044

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Solution

The third proportional to 175,792 and 364,044 is: 753,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,792 : 364,044 = 364,044 : x
  2. Step 2: Convert to fraction form
    175,792/364,044 = 364,044/x
  3. Step 3: Cross multiply
    175,792x = 364,044 × 364,044
  4. Step 4: Simplify right side
    175,792x = 132,528,033,936
  5. Step 5: Solve for x
    x = 132,528,033,936/175,792
  6. Step 6: Final answer
    x = 753,891.16

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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.