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Finding the Third Proportional to 174,540 and 376,929

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Solution

The third proportional to 174,540 and 376,929 is: 813,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,540 : 376,929 = 376,929 : x
  2. Step 2: Convert to fraction form
    174,540/376,929 = 376,929/x
  3. Step 3: Cross multiply
    174,540x = 376,929 × 376,929
  4. Step 4: Simplify right side
    174,540x = 142,075,471,041
  5. Step 5: Solve for x
    x = 142,075,471,041/174,540
  6. Step 6: Final answer
    x = 813,999.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.