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Finding the Third Proportional to 236,484 and 367,187

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Solution

The third proportional to 236,484 and 367,187 is: 570,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,484 : 367,187 = 367,187 : x
  2. Step 2: Convert to fraction form
    236,484/367,187 = 367,187/x
  3. Step 3: Cross multiply
    236,484x = 367,187 × 367,187
  4. Step 4: Simplify right side
    236,484x = 134,826,292,969
  5. Step 5: Solve for x
    x = 134,826,292,969/236,484
  6. Step 6: Final answer
    x = 570,128.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.