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Finding the Third Proportional to 152,673.75 and 325,640.25

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Solution

The third proportional to 152,673.75 and 325,640.25 is: 694,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,673.75 : 325,640.25 = 325,640.25 : x
  2. Step 2: Convert to fraction form
    152,673.75/325,640.25 = 325,640.25/x
  3. Step 3: Cross multiply
    152,673.75x = 325,640.25 × 325,640.25
  4. Step 4: Simplify right side
    152,673.75x = 106,041,572,420.06
  5. Step 5: Solve for x
    x = 106,041,572,420.06/152,673.75
  6. Step 6: Final answer
    x = 694,563.23

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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.