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Finding the Third Proportional to 236,301.75 and 358,821

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Solution

The third proportional to 236,301.75 and 358,821 is: 544,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,301.75 : 358,821 = 358,821 : x
  2. Step 2: Convert to fraction form
    236,301.75/358,821 = 358,821/x
  3. Step 3: Cross multiply
    236,301.75x = 358,821 × 358,821
  4. Step 4: Simplify right side
    236,301.75x = 128,752,510,041
  5. Step 5: Solve for x
    x = 128,752,510,041/236,301.75
  6. Step 6: Final answer
    x = 544,864.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.