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Finding the Third Proportional to 237,561.19 and 512,255.81

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Solution

The third proportional to 237,561.19 and 512,255.81 is: 1,104,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,561.19 : 512,255.81 = 512,255.81 : x
  2. Step 2: Convert to fraction form
    237,561.19/512,255.81 = 512,255.81/x
  3. Step 3: Cross multiply
    237,561.19x = 512,255.81 × 512,255.81
  4. Step 4: Simplify right side
    237,561.19x = 262,406,017,440.04
  5. Step 5: Solve for x
    x = 262,406,017,440.04/237,561.19
  6. Step 6: Final answer
    x = 1,104,582.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.