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Finding the Third Proportional to 144,628 and 337,890

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Solution

The third proportional to 144,628 and 337,890 is: 789,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,628 : 337,890 = 337,890 : x
  2. Step 2: Convert to fraction form
    144,628/337,890 = 337,890/x
  3. Step 3: Cross multiply
    144,628x = 337,890 × 337,890
  4. Step 4: Simplify right side
    144,628x = 114,169,652,100
  5. Step 5: Solve for x
    x = 114,169,652,100/144,628
  6. Step 6: Final answer
    x = 789,402.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.