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Finding the Third Proportional to 232,662 and 373,287

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Solution

The third proportional to 232,662 and 373,287 is: 598,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,662 : 373,287 = 373,287 : x
  2. Step 2: Convert to fraction form
    232,662/373,287 = 373,287/x
  3. Step 3: Cross multiply
    232,662x = 373,287 × 373,287
  4. Step 4: Simplify right side
    232,662x = 139,343,184,369
  5. Step 5: Solve for x
    x = 139,343,184,369/232,662
  6. Step 6: Final answer
    x = 598,908.22

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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.