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Finding the Third Proportional to 174,998 and 382,072

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Solution

The third proportional to 174,998 and 382,072 is: 834,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,998 : 382,072 = 382,072 : x
  2. Step 2: Convert to fraction form
    174,998/382,072 = 382,072/x
  3. Step 3: Cross multiply
    174,998x = 382,072 × 382,072
  4. Step 4: Simplify right side
    174,998x = 145,979,013,184
  5. Step 5: Solve for x
    x = 145,979,013,184/174,998
  6. Step 6: Final answer
    x = 834,175.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.