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Finding the Third Proportional to 150,032.25 and 325,822.50

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Solution

The third proportional to 150,032.25 and 325,822.50 is: 707,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,032.25 : 325,822.50 = 325,822.50 : x
  2. Step 2: Convert to fraction form
    150,032.25/325,822.50 = 325,822.50/x
  3. Step 3: Cross multiply
    150,032.25x = 325,822.50 × 325,822.50
  4. Step 4: Simplify right side
    150,032.25x = 106,160,301,506.25
  5. Step 5: Solve for x
    x = 106,160,301,506.25/150,032.25
  6. Step 6: Final answer
    x = 707,583.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.