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Finding the Third Proportional to 137,562 and 301,692

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Solution

The third proportional to 137,562 and 301,692 is: 661,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,562 : 301,692 = 301,692 : x
  2. Step 2: Convert to fraction form
    137,562/301,692 = 301,692/x
  3. Step 3: Cross multiply
    137,562x = 301,692 × 301,692
  4. Step 4: Simplify right side
    137,562x = 91,018,062,864
  5. Step 5: Solve for x
    x = 91,018,062,864/137,562
  6. Step 6: Final answer
    x = 661,651.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.