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Finding the Third Proportional to 236,502 and 367,190

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Solution

The third proportional to 236,502 and 367,190 is: 570,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,502 : 367,190 = 367,190 : x
  2. Step 2: Convert to fraction form
    236,502/367,190 = 367,190/x
  3. Step 3: Cross multiply
    236,502x = 367,190 × 367,190
  4. Step 4: Simplify right side
    236,502x = 134,828,496,100
  5. Step 5: Solve for x
    x = 134,828,496,100/236,502
  6. Step 6: Final answer
    x = 570,094.53

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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.