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Finding the Third Proportional to 137,820 and 300,252

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Solution

The third proportional to 137,820 and 300,252 is: 654,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,820 : 300,252 = 300,252 : x
  2. Step 2: Convert to fraction form
    137,820/300,252 = 300,252/x
  3. Step 3: Cross multiply
    137,820x = 300,252 × 300,252
  4. Step 4: Simplify right side
    137,820x = 90,151,263,504
  5. Step 5: Solve for x
    x = 90,151,263,504/137,820
  6. Step 6: Final answer
    x = 654,123.23

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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.