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Finding the Third Proportional to 170,643.66 and 229,721.06

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Solution

The third proportional to 170,643.66 and 229,721.06 is: 309,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,643.66 : 229,721.06 = 229,721.06 : x
  2. Step 2: Convert to fraction form
    170,643.66/229,721.06 = 229,721.06/x
  3. Step 3: Cross multiply
    170,643.66x = 229,721.06 × 229,721.06
  4. Step 4: Simplify right side
    170,643.66x = 52,771,766,556.13
  5. Step 5: Solve for x
    x = 52,771,766,556.13/170,643.66
  6. Step 6: Final answer
    x = 309,251.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.