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Finding the Third Proportional to 134,953 and 290,337

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Solution

The third proportional to 134,953 and 290,337 is: 624,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,953 : 290,337 = 290,337 : x
  2. Step 2: Convert to fraction form
    134,953/290,337 = 290,337/x
  3. Step 3: Cross multiply
    134,953x = 290,337 × 290,337
  4. Step 4: Simplify right side
    134,953x = 84,295,573,569
  5. Step 5: Solve for x
    x = 84,295,573,569/134,953
  6. Step 6: Final answer
    x = 624,629.12

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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.