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Finding the Third Proportional to 235,080 and 330,322.50

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Solution

The third proportional to 235,080 and 330,322.50 is: 464,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,080 : 330,322.50 = 330,322.50 : x
  2. Step 2: Convert to fraction form
    235,080/330,322.50 = 330,322.50/x
  3. Step 3: Cross multiply
    235,080x = 330,322.50 × 330,322.50
  4. Step 4: Simplify right side
    235,080x = 109,112,954,006.25
  5. Step 5: Solve for x
    x = 109,112,954,006.25/235,080
  6. Step 6: Final answer
    x = 464,152.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.