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Finding the Third Proportional to 235,880 and 352,956

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Solution

The third proportional to 235,880 and 352,956 is: 528,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,880 : 352,956 = 352,956 : x
  2. Step 2: Convert to fraction form
    235,880/352,956 = 352,956/x
  3. Step 3: Cross multiply
    235,880x = 352,956 × 352,956
  4. Step 4: Simplify right side
    235,880x = 124,577,937,936
  5. Step 5: Solve for x
    x = 124,577,937,936/235,880
  6. Step 6: Final answer
    x = 528,141.16

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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.