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Finding the Third Proportional to 152.25 and 304.88

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Solution

The third proportional to 152.25 and 304.88 is: 610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.25 : 304.88 = 304.88 : x
  2. Step 2: Convert to fraction form
    152.25/304.88 = 304.88/x
  3. Step 3: Cross multiply
    152.25x = 304.88 × 304.88
  4. Step 4: Simplify right side
    152.25x = 92,948.77
  5. Step 5: Solve for x
    x = 92,948.77/152.25
  6. Step 6: Final answer
    x = 610.50

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.