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Finding the Third Proportional to 131,726 and 310,855

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Solution

The third proportional to 131,726 and 310,855 is: 733,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,726 : 310,855 = 310,855 : x
  2. Step 2: Convert to fraction form
    131,726/310,855 = 310,855/x
  3. Step 3: Cross multiply
    131,726x = 310,855 × 310,855
  4. Step 4: Simplify right side
    131,726x = 96,630,831,025
  5. Step 5: Solve for x
    x = 96,630,831,025/131,726
  6. Step 6: Final answer
    x = 733,574.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.