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Finding the Third Proportional to 132.50 and 322.25

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Solution

The third proportional to 132.50 and 322.25 is: 783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.50 : 322.25 = 322.25 : x
  2. Step 2: Convert to fraction form
    132.50/322.25 = 322.25/x
  3. Step 3: Cross multiply
    132.50x = 322.25 × 322.25
  4. Step 4: Simplify right side
    132.50x = 103,845.06
  5. Step 5: Solve for x
    x = 103,845.06/132.50
  6. Step 6: Final answer
    x = 783.74

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.