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Finding the Third Proportional to 233,583.75 and 306,715.36

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Solution

The third proportional to 233,583.75 and 306,715.36 is: 402,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,583.75 : 306,715.36 = 306,715.36 : x
  2. Step 2: Convert to fraction form
    233,583.75/306,715.36 = 306,715.36/x
  3. Step 3: Cross multiply
    233,583.75x = 306,715.36 × 306,715.36
  4. Step 4: Simplify right side
    233,583.75x = 94,074,311,676.54
  5. Step 5: Solve for x
    x = 94,074,311,676.54/233,583.75
  6. Step 6: Final answer
    x = 402,743.39

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.