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Finding the Third Proportional to 171,679.50 and 376,574.06

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Solution

The third proportional to 171,679.50 and 376,574.06 is: 826,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,679.50 : 376,574.06 = 376,574.06 : x
  2. Step 2: Convert to fraction form
    171,679.50/376,574.06 = 376,574.06/x
  3. Step 3: Cross multiply
    171,679.50x = 376,574.06 × 376,574.06
  4. Step 4: Simplify right side
    171,679.50x = 141,808,024,547.75
  5. Step 5: Solve for x
    x = 141,808,024,547.75/171,679.50
  6. Step 6: Final answer
    x = 826,004.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.