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Finding the Third Proportional to 158,333.48 and 233,314.17

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Solution

The third proportional to 158,333.48 and 233,314.17 is: 343,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,333.48 : 233,314.17 = 233,314.17 : x
  2. Step 2: Convert to fraction form
    158,333.48/233,314.17 = 233,314.17/x
  3. Step 3: Cross multiply
    158,333.48x = 233,314.17 × 233,314.17
  4. Step 4: Simplify right side
    158,333.48x = 54,435,502,797.72
  5. Step 5: Solve for x
    x = 54,435,502,797.72/158,333.48
  6. Step 6: Final answer
    x = 343,802.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.