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Finding the Third Proportional to 223,632 and 337,008

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Solution

The third proportional to 223,632 and 337,008 is: 507,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,632 : 337,008 = 337,008 : x
  2. Step 2: Convert to fraction form
    223,632/337,008 = 337,008/x
  3. Step 3: Cross multiply
    223,632x = 337,008 × 337,008
  4. Step 4: Simplify right side
    223,632x = 113,574,392,064
  5. Step 5: Solve for x
    x = 113,574,392,064/223,632
  6. Step 6: Final answer
    x = 507,862.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.