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Finding the Third Proportional to 236,398 and 358,969

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Solution

The third proportional to 236,398 and 358,969 is: 545,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,398 : 358,969 = 358,969 : x
  2. Step 2: Convert to fraction form
    236,398/358,969 = 358,969/x
  3. Step 3: Cross multiply
    236,398x = 358,969 × 358,969
  4. Step 4: Simplify right side
    236,398x = 128,858,742,961
  5. Step 5: Solve for x
    x = 128,858,742,961/236,398
  6. Step 6: Final answer
    x = 545,092.36

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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.