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Finding the Third Proportional to 134,310 and 209,641

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Solution

The third proportional to 134,310 and 209,641 is: 327,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,310 : 209,641 = 209,641 : x
  2. Step 2: Convert to fraction form
    134,310/209,641 = 209,641/x
  3. Step 3: Cross multiply
    134,310x = 209,641 × 209,641
  4. Step 4: Simplify right side
    134,310x = 43,949,348,881
  5. Step 5: Solve for x
    x = 43,949,348,881/134,310
  6. Step 6: Final answer
    x = 327,223.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.