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Finding the Third Proportional to 170,904.94 and 265,295.25

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Solution

The third proportional to 170,904.94 and 265,295.25 is: 411,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,904.94 : 265,295.25 = 265,295.25 : x
  2. Step 2: Convert to fraction form
    170,904.94/265,295.25 = 265,295.25/x
  3. Step 3: Cross multiply
    170,904.94x = 265,295.25 × 265,295.25
  4. Step 4: Simplify right side
    170,904.94x = 70,381,569,672.56
  5. Step 5: Solve for x
    x = 70,381,569,672.56/170,904.94
  6. Step 6: Final answer
    x = 411,817.06

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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.