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Finding the Third Proportional to 152,334 and 355,869

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Solution

The third proportional to 152,334 and 355,869 is: 831,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,334 : 355,869 = 355,869 : x
  2. Step 2: Convert to fraction form
    152,334/355,869 = 355,869/x
  3. Step 3: Cross multiply
    152,334x = 355,869 × 355,869
  4. Step 4: Simplify right side
    152,334x = 126,642,745,161
  5. Step 5: Solve for x
    x = 126,642,745,161/152,334
  6. Step 6: Final answer
    x = 831,349.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.