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Finding the Third Proportional to 137,887 and 210,840

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Solution

The third proportional to 137,887 and 210,840 is: 322,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,887 : 210,840 = 210,840 : x
  2. Step 2: Convert to fraction form
    137,887/210,840 = 210,840/x
  3. Step 3: Cross multiply
    137,887x = 210,840 × 210,840
  4. Step 4: Simplify right side
    137,887x = 44,453,505,600
  5. Step 5: Solve for x
    x = 44,453,505,600/137,887
  6. Step 6: Final answer
    x = 322,390.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.