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Finding the Third Proportional to 152,406 and 369,815

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Solution

The third proportional to 152,406 and 369,815 is: 897,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,406 : 369,815 = 369,815 : x
  2. Step 2: Convert to fraction form
    152,406/369,815 = 369,815/x
  3. Step 3: Cross multiply
    152,406x = 369,815 × 369,815
  4. Step 4: Simplify right side
    152,406x = 136,763,134,225
  5. Step 5: Solve for x
    x = 136,763,134,225/152,406
  6. Step 6: Final answer
    x = 897,360.56

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.