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Finding the Third Proportional to 170,722.69 and 186,031.69

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Solution

The third proportional to 170,722.69 and 186,031.69 is: 202,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,722.69 : 186,031.69 = 186,031.69 : x
  2. Step 2: Convert to fraction form
    170,722.69/186,031.69 = 186,031.69/x
  3. Step 3: Cross multiply
    170,722.69x = 186,031.69 × 186,031.69
  4. Step 4: Simplify right side
    170,722.69x = 34,607,788,754.10
  5. Step 5: Solve for x
    x = 34,607,788,754.10/170,722.69
  6. Step 6: Final answer
    x = 202,713.47

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.