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Finding the Third Proportional to 70,696.50 and 152,463

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Solution

The third proportional to 70,696.50 and 152,463 is: 328,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,696.50 : 152,463 = 152,463 : x
  2. Step 2: Convert to fraction form
    70,696.50/152,463 = 152,463/x
  3. Step 3: Cross multiply
    70,696.50x = 152,463 × 152,463
  4. Step 4: Simplify right side
    70,696.50x = 23,244,966,369
  5. Step 5: Solve for x
    x = 23,244,966,369/70,696.50
  6. Step 6: Final answer
    x = 328,799.39

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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.