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Finding the Third Proportional to 233,291 and 361,925

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Solution

The third proportional to 233,291 and 361,925 is: 561,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,291 : 361,925 = 361,925 : x
  2. Step 2: Convert to fraction form
    233,291/361,925 = 361,925/x
  3. Step 3: Cross multiply
    233,291x = 361,925 × 361,925
  4. Step 4: Simplify right side
    233,291x = 130,989,705,625
  5. Step 5: Solve for x
    x = 130,989,705,625/233,291
  6. Step 6: Final answer
    x = 561,486.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.