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Finding the Third Proportional to 173,684.25 and 265,902.75

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Solution

The third proportional to 173,684.25 and 265,902.75 is: 407,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,684.25 : 265,902.75 = 265,902.75 : x
  2. Step 2: Convert to fraction form
    173,684.25/265,902.75 = 265,902.75/x
  3. Step 3: Cross multiply
    173,684.25x = 265,902.75 × 265,902.75
  4. Step 4: Simplify right side
    173,684.25x = 70,704,272,457.56
  5. Step 5: Solve for x
    x = 70,704,272,457.56/173,684.25
  6. Step 6: Final answer
    x = 407,085.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.