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Finding the Third Proportional to 233,105.51 and 348,220.25

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Solution

The third proportional to 233,105.51 and 348,220.25 is: 520,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,105.51 : 348,220.25 = 348,220.25 : x
  2. Step 2: Convert to fraction form
    233,105.51/348,220.25 = 348,220.25/x
  3. Step 3: Cross multiply
    233,105.51x = 348,220.25 × 348,220.25
  4. Step 4: Simplify right side
    233,105.51x = 121,257,342,201.87
  5. Step 5: Solve for x
    x = 121,257,342,201.87/233,105.51
  6. Step 6: Final answer
    x = 520,182.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.