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Finding the Third Proportional to 233,106.75 and 348,222.75

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Solution

The third proportional to 233,106.75 and 348,222.75 is: 520,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,106.75 : 348,222.75 = 348,222.75 : x
  2. Step 2: Convert to fraction form
    233,106.75/348,222.75 = 348,222.75/x
  3. Step 3: Cross multiply
    233,106.75x = 348,222.75 × 348,222.75
  4. Step 4: Simplify right side
    233,106.75x = 121,259,083,617.56
  5. Step 5: Solve for x
    x = 121,259,083,617.56/233,106.75
  6. Step 6: Final answer
    x = 520,186.93

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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.