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Finding the Third Proportional to 137,019 and 298,874.63

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Solution

The third proportional to 137,019 and 298,874.63 is: 651,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,019 : 298,874.63 = 298,874.63 : x
  2. Step 2: Convert to fraction form
    137,019/298,874.63 = 298,874.63/x
  3. Step 3: Cross multiply
    137,019x = 298,874.63 × 298,874.63
  4. Step 4: Simplify right side
    137,019x = 89,326,041,468.89
  5. Step 5: Solve for x
    x = 89,326,041,468.89/137,019
  6. Step 6: Final answer
    x = 651,924.49

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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.