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Finding the Third Proportional to 233,702 and 350,157

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Solution

The third proportional to 233,702 and 350,157 is: 524,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,702 : 350,157 = 350,157 : x
  2. Step 2: Convert to fraction form
    233,702/350,157 = 350,157/x
  3. Step 3: Cross multiply
    233,702x = 350,157 × 350,157
  4. Step 4: Simplify right side
    233,702x = 122,609,924,649
  5. Step 5: Solve for x
    x = 122,609,924,649/233,702
  6. Step 6: Final answer
    x = 524,642.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.