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Finding the Third Proportional to 134,954 and 290,342

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Solution

The third proportional to 134,954 and 290,342 is: 624,646.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,954 : 290,342 = 290,342 : x
  2. Step 2: Convert to fraction form
    134,954/290,342 = 290,342/x
  3. Step 3: Cross multiply
    134,954x = 290,342 × 290,342
  4. Step 4: Simplify right side
    134,954x = 84,298,476,964
  5. Step 5: Solve for x
    x = 84,298,476,964/134,954
  6. Step 6: Final answer
    x = 624,646.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.