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Finding the Third Proportional to 233,160.75 and 348,297.75

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Solution

The third proportional to 233,160.75 and 348,297.75 is: 520,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,160.75 : 348,297.75 = 348,297.75 : x
  2. Step 2: Convert to fraction form
    233,160.75/348,297.75 = 348,297.75/x
  3. Step 3: Cross multiply
    233,160.75x = 348,297.75 × 348,297.75
  4. Step 4: Simplify right side
    233,160.75x = 121,311,322,655.06
  5. Step 5: Solve for x
    x = 121,311,322,655.06/233,160.75
  6. Step 6: Final answer
    x = 520,290.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.