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Finding the Third Proportional to 232,322 and 348,515

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Solution

The third proportional to 232,322 and 348,515 is: 522,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,322 : 348,515 = 348,515 : x
  2. Step 2: Convert to fraction form
    232,322/348,515 = 348,515/x
  3. Step 3: Cross multiply
    232,322x = 348,515 × 348,515
  4. Step 4: Simplify right side
    232,322x = 121,462,705,225
  5. Step 5: Solve for x
    x = 121,462,705,225/232,322
  6. Step 6: Final answer
    x = 522,820.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.