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Finding the Third Proportional to 236,301.75 and 358,822.13

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Solution

The third proportional to 236,301.75 and 358,822.13 is: 544,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,301.75 : 358,822.13 = 358,822.13 : x
  2. Step 2: Convert to fraction form
    236,301.75/358,822.13 = 358,822.13/x
  3. Step 3: Cross multiply
    236,301.75x = 358,822.13 × 358,822.13
  4. Step 4: Simplify right side
    236,301.75x = 128,753,317,389.52
  5. Step 5: Solve for x
    x = 128,753,317,389.52/236,301.75
  6. Step 6: Final answer
    x = 544,868.23

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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.