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Finding the Third Proportional to 137,070 and 317,297.25

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Solution

The third proportional to 137,070 and 317,297.25 is: 734,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,070 : 317,297.25 = 317,297.25 : x
  2. Step 2: Convert to fraction form
    137,070/317,297.25 = 317,297.25/x
  3. Step 3: Cross multiply
    137,070x = 317,297.25 × 317,297.25
  4. Step 4: Simplify right side
    137,070x = 100,677,544,857.56
  5. Step 5: Solve for x
    x = 100,677,544,857.56/137,070
  6. Step 6: Final answer
    x = 734,497.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.