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Finding the Third Proportional to 122,152 and 257,426

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Solution

The third proportional to 122,152 and 257,426 is: 542,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,152 : 257,426 = 257,426 : x
  2. Step 2: Convert to fraction form
    122,152/257,426 = 257,426/x
  3. Step 3: Cross multiply
    122,152x = 257,426 × 257,426
  4. Step 4: Simplify right side
    122,152x = 66,268,145,476
  5. Step 5: Solve for x
    x = 66,268,145,476/122,152
  6. Step 6: Final answer
    x = 542,505.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.