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Finding the Third Proportional to 148,971 and 340,348.50

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Solution

The third proportional to 148,971 and 340,348.50 is: 777,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,971 : 340,348.50 = 340,348.50 : x
  2. Step 2: Convert to fraction form
    148,971/340,348.50 = 340,348.50/x
  3. Step 3: Cross multiply
    148,971x = 340,348.50 × 340,348.50
  4. Step 4: Simplify right side
    148,971x = 115,837,101,452.25
  5. Step 5: Solve for x
    x = 115,837,101,452.25/148,971
  6. Step 6: Final answer
    x = 777,581.55

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.