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Finding the Third Proportional to 233,642 and 366,034

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Solution

The third proportional to 233,642 and 366,034 is: 573,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,642 : 366,034 = 366,034 : x
  2. Step 2: Convert to fraction form
    233,642/366,034 = 366,034/x
  3. Step 3: Cross multiply
    233,642x = 366,034 × 366,034
  4. Step 4: Simplify right side
    233,642x = 133,980,889,156
  5. Step 5: Solve for x
    x = 133,980,889,156/233,642
  6. Step 6: Final answer
    x = 573,445.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.