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Finding the Third Proportional to 122,178 and 265,236

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Solution

The third proportional to 122,178 and 265,236 is: 575,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,178 : 265,236 = 265,236 : x
  2. Step 2: Convert to fraction form
    122,178/265,236 = 265,236/x
  3. Step 3: Cross multiply
    122,178x = 265,236 × 265,236
  4. Step 4: Simplify right side
    122,178x = 70,350,135,696
  5. Step 5: Solve for x
    x = 70,350,135,696/122,178
  6. Step 6: Final answer
    x = 575,800.35

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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.