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Finding the Third Proportional to 148,696 and 211,971

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Solution

The third proportional to 148,696 and 211,971 is: 302,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,696 : 211,971 = 211,971 : x
  2. Step 2: Convert to fraction form
    148,696/211,971 = 211,971/x
  3. Step 3: Cross multiply
    148,696x = 211,971 × 211,971
  4. Step 4: Simplify right side
    148,696x = 44,931,704,841
  5. Step 5: Solve for x
    x = 44,931,704,841/148,696
  6. Step 6: Final answer
    x = 302,171.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.