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Finding the Third Proportional to 233,008 and 349,148

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Solution

The third proportional to 233,008 and 349,148 is: 523,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,008 : 349,148 = 349,148 : x
  2. Step 2: Convert to fraction form
    233,008/349,148 = 349,148/x
  3. Step 3: Cross multiply
    233,008x = 349,148 × 349,148
  4. Step 4: Simplify right side
    233,008x = 121,904,325,904
  5. Step 5: Solve for x
    x = 121,904,325,904/233,008
  6. Step 6: Final answer
    x = 523,176.57

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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.