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Finding the Third Proportional to 137,023 and 298,881

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Solution

The third proportional to 137,023 and 298,881 is: 651,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,023 : 298,881 = 298,881 : x
  2. Step 2: Convert to fraction form
    137,023/298,881 = 298,881/x
  3. Step 3: Cross multiply
    137,023x = 298,881 × 298,881
  4. Step 4: Simplify right side
    137,023x = 89,329,852,161
  5. Step 5: Solve for x
    x = 89,329,852,161/137,023
  6. Step 6: Final answer
    x = 651,933.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.