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Finding the Third Proportional to 58,334.50 and 128,333

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Solution

The third proportional to 58,334.50 and 128,333 is: 282,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,334.50 : 128,333 = 128,333 : x
  2. Step 2: Convert to fraction form
    58,334.50/128,333 = 128,333/x
  3. Step 3: Cross multiply
    58,334.50x = 128,333 × 128,333
  4. Step 4: Simplify right side
    58,334.50x = 16,469,358,889
  5. Step 5: Solve for x
    x = 16,469,358,889/58,334.50
  6. Step 6: Final answer
    x = 282,326.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.