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Finding the Third Proportional to 232,702 and 373,348

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Solution

The third proportional to 232,702 and 373,348 is: 599,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,702 : 373,348 = 373,348 : x
  2. Step 2: Convert to fraction form
    232,702/373,348 = 373,348/x
  3. Step 3: Cross multiply
    232,702x = 373,348 × 373,348
  4. Step 4: Simplify right side
    232,702x = 139,388,729,104
  5. Step 5: Solve for x
    x = 139,388,729,104/232,702
  6. Step 6: Final answer
    x = 599,000.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.