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Finding the Third Proportional to 137,076.75 and 317,313

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Solution

The third proportional to 137,076.75 and 317,313 is: 734,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,076.75 : 317,313 = 317,313 : x
  2. Step 2: Convert to fraction form
    137,076.75/317,313 = 317,313/x
  3. Step 3: Cross multiply
    137,076.75x = 317,313 × 317,313
  4. Step 4: Simplify right side
    137,076.75x = 100,687,539,969
  5. Step 5: Solve for x
    x = 100,687,539,969/137,076.75
  6. Step 6: Final answer
    x = 734,534.05

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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.