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Finding the Third Proportional to 148,889 and 322,378

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Solution

The third proportional to 148,889 and 322,378 is: 698,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,889 : 322,378 = 322,378 : x
  2. Step 2: Convert to fraction form
    148,889/322,378 = 322,378/x
  3. Step 3: Cross multiply
    148,889x = 322,378 × 322,378
  4. Step 4: Simplify right side
    148,889x = 103,927,574,884
  5. Step 5: Solve for x
    x = 103,927,574,884/148,889
  6. Step 6: Final answer
    x = 698,020.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.