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Finding the Third Proportional to 152,650.50 and 325,584

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Solution

The third proportional to 152,650.50 and 325,584 is: 694,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,650.50 : 325,584 = 325,584 : x
  2. Step 2: Convert to fraction form
    152,650.50/325,584 = 325,584/x
  3. Step 3: Cross multiply
    152,650.50x = 325,584 × 325,584
  4. Step 4: Simplify right side
    152,650.50x = 106,004,941,056
  5. Step 5: Solve for x
    x = 106,004,941,056/152,650.50
  6. Step 6: Final answer
    x = 694,429.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.