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Finding the Third Proportional to 175,623.19 and 380,773.41

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Solution

The third proportional to 175,623.19 and 380,773.41 is: 825,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,623.19 : 380,773.41 = 380,773.41 : x
  2. Step 2: Convert to fraction form
    175,623.19/380,773.41 = 380,773.41/x
  3. Step 3: Cross multiply
    175,623.19x = 380,773.41 × 380,773.41
  4. Step 4: Simplify right side
    175,623.19x = 144,988,386,907.23
  5. Step 5: Solve for x
    x = 144,988,386,907.23/175,623.19
  6. Step 6: Final answer
    x = 825,565.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.