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Finding the Third Proportional to 225,085.71 and 343,343.81

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Solution

The third proportional to 225,085.71 and 343,343.81 is: 523,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,085.71 : 343,343.81 = 343,343.81 : x
  2. Step 2: Convert to fraction form
    225,085.71/343,343.81 = 343,343.81/x
  3. Step 3: Cross multiply
    225,085.71x = 343,343.81 × 343,343.81
  4. Step 4: Simplify right side
    225,085.71x = 117,884,973,582.04
  5. Step 5: Solve for x
    x = 117,884,973,582.04/225,085.71
  6. Step 6: Final answer
    x = 523,733.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.