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Finding the Third Proportional to 225,833.06 and 340,663.22

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Solution

The third proportional to 225,833.06 and 340,663.22 is: 513,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,833.06 : 340,663.22 = 340,663.22 : x
  2. Step 2: Convert to fraction form
    225,833.06/340,663.22 = 340,663.22/x
  3. Step 3: Cross multiply
    225,833.06x = 340,663.22 × 340,663.22
  4. Step 4: Simplify right side
    225,833.06x = 116,051,428,609.11
  5. Step 5: Solve for x
    x = 116,051,428,609.11/225,833.06
  6. Step 6: Final answer
    x = 513,881.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.