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Finding the Third Proportional to 170,063.25 and 265,434

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Solution

The third proportional to 170,063.25 and 265,434 is: 414,288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,063.25 : 265,434 = 265,434 : x
  2. Step 2: Convert to fraction form
    170,063.25/265,434 = 265,434/x
  3. Step 3: Cross multiply
    170,063.25x = 265,434 × 265,434
  4. Step 4: Simplify right side
    170,063.25x = 70,455,208,356
  5. Step 5: Solve for x
    x = 70,455,208,356/170,063.25
  6. Step 6: Final answer
    x = 414,288.26

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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.