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Finding the Third Proportional to 155,824 and 334,925

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Solution

The third proportional to 155,824 and 334,925 is: 719,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,824 : 334,925 = 334,925 : x
  2. Step 2: Convert to fraction form
    155,824/334,925 = 334,925/x
  3. Step 3: Cross multiply
    155,824x = 334,925 × 334,925
  4. Step 4: Simplify right side
    155,824x = 112,174,755,625
  5. Step 5: Solve for x
    x = 112,174,755,625/155,824
  6. Step 6: Final answer
    x = 719,881.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.