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Finding the Third Proportional to 137,789 and 210,785

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Solution

The third proportional to 137,789 and 210,785 is: 322,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,789 : 210,785 = 210,785 : x
  2. Step 2: Convert to fraction form
    137,789/210,785 = 210,785/x
  3. Step 3: Cross multiply
    137,789x = 210,785 × 210,785
  4. Step 4: Simplify right side
    137,789x = 44,430,316,225
  5. Step 5: Solve for x
    x = 44,430,316,225/137,789
  6. Step 6: Final answer
    x = 322,451.84

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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.