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Finding the Third Proportional to 138,212 and 290,350

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Solution

The third proportional to 138,212 and 290,350 is: 609,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,212 : 290,350 = 290,350 : x
  2. Step 2: Convert to fraction form
    138,212/290,350 = 290,350/x
  3. Step 3: Cross multiply
    138,212x = 290,350 × 290,350
  4. Step 4: Simplify right side
    138,212x = 84,303,122,500
  5. Step 5: Solve for x
    x = 84,303,122,500/138,212
  6. Step 6: Final answer
    x = 609,955.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.