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Finding the Third Proportional to 223,850 and 337,931

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Solution

The third proportional to 223,850 and 337,931 is: 510,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,850 : 337,931 = 337,931 : x
  2. Step 2: Convert to fraction form
    223,850/337,931 = 337,931/x
  3. Step 3: Cross multiply
    223,850x = 337,931 × 337,931
  4. Step 4: Simplify right side
    223,850x = 114,197,360,761
  5. Step 5: Solve for x
    x = 114,197,360,761/223,850
  6. Step 6: Final answer
    x = 510,151.27

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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.