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Finding the Third Proportional to 175,005 and 374,796

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Solution

The third proportional to 175,005 and 374,796 is: 802,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,005 : 374,796 = 374,796 : x
  2. Step 2: Convert to fraction form
    175,005/374,796 = 374,796/x
  3. Step 3: Cross multiply
    175,005x = 374,796 × 374,796
  4. Step 4: Simplify right side
    175,005x = 140,472,041,616
  5. Step 5: Solve for x
    x = 140,472,041,616/175,005
  6. Step 6: Final answer
    x = 802,674.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.