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Finding the Third Proportional to 137,834 and 202,707

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Solution

The third proportional to 137,834 and 202,707 is: 298,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,834 : 202,707 = 202,707 : x
  2. Step 2: Convert to fraction form
    137,834/202,707 = 202,707/x
  3. Step 3: Cross multiply
    137,834x = 202,707 × 202,707
  4. Step 4: Simplify right side
    137,834x = 41,090,127,849
  5. Step 5: Solve for x
    x = 41,090,127,849/137,834
  6. Step 6: Final answer
    x = 298,113.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.