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Finding the Third Proportional to 170,064.75 and 265,436.25

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Solution

The third proportional to 170,064.75 and 265,436.25 is: 414,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,064.75 : 265,436.25 = 265,436.25 : x
  2. Step 2: Convert to fraction form
    170,064.75/265,436.25 = 265,436.25/x
  3. Step 3: Cross multiply
    170,064.75x = 265,436.25 × 265,436.25
  4. Step 4: Simplify right side
    170,064.75x = 70,456,402,814.06
  5. Step 5: Solve for x
    x = 70,456,402,814.06/170,064.75
  6. Step 6: Final answer
    x = 414,291.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.