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Finding the Third Proportional to 173,994.75 and 264,637.13

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Solution

The third proportional to 173,994.75 and 264,637.13 is: 402,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,994.75 : 264,637.13 = 264,637.13 : x
  2. Step 2: Convert to fraction form
    173,994.75/264,637.13 = 264,637.13/x
  3. Step 3: Cross multiply
    173,994.75x = 264,637.13 × 264,637.13
  4. Step 4: Simplify right side
    173,994.75x = 70,032,807,928.27
  5. Step 5: Solve for x
    x = 70,032,807,928.27/173,994.75
  6. Step 6: Final answer
    x = 402,499.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.