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Finding the Third Proportional to 242,520 and 367,135

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Solution

The third proportional to 242,520 and 367,135 is: 555,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,520 : 367,135 = 367,135 : x
  2. Step 2: Convert to fraction form
    242,520/367,135 = 367,135/x
  3. Step 3: Cross multiply
    242,520x = 367,135 × 367,135
  4. Step 4: Simplify right side
    242,520x = 134,788,108,225
  5. Step 5: Solve for x
    x = 134,788,108,225/242,520
  6. Step 6: Final answer
    x = 555,781.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.