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Finding the Third Proportional to 175,374 and 378,771.75

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Solution

The third proportional to 175,374 and 378,771.75 is: 818,069.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,374 : 378,771.75 = 378,771.75 : x
  2. Step 2: Convert to fraction form
    175,374/378,771.75 = 378,771.75/x
  3. Step 3: Cross multiply
    175,374x = 378,771.75 × 378,771.75
  4. Step 4: Simplify right side
    175,374x = 143,468,038,598.06
  5. Step 5: Solve for x
    x = 143,468,038,598.06/175,374
  6. Step 6: Final answer
    x = 818,069.03

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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.