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Finding the Third Proportional to 237,121 and 361,592

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Solution

The third proportional to 237,121 and 361,592 is: 551,401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,121 : 361,592 = 361,592 : x
  2. Step 2: Convert to fraction form
    237,121/361,592 = 361,592/x
  3. Step 3: Cross multiply
    237,121x = 361,592 × 361,592
  4. Step 4: Simplify right side
    237,121x = 130,748,774,464
  5. Step 5: Solve for x
    x = 130,748,774,464/237,121
  6. Step 6: Final answer
    x = 551,401.08

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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.