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Finding the Third Proportional to 136,064 and 295,429

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Solution

The third proportional to 136,064 and 295,429 is: 641,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,064 : 295,429 = 295,429 : x
  2. Step 2: Convert to fraction form
    136,064/295,429 = 295,429/x
  3. Step 3: Cross multiply
    136,064x = 295,429 × 295,429
  4. Step 4: Simplify right side
    136,064x = 87,278,294,041
  5. Step 5: Solve for x
    x = 87,278,294,041/136,064
  6. Step 6: Final answer
    x = 641,450.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.