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Finding the Third Proportional to 147.60 and 317.51

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Solution

The third proportional to 147.60 and 317.51 is: 683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.60 : 317.51 = 317.51 : x
  2. Step 2: Convert to fraction form
    147.60/317.51 = 317.51/x
  3. Step 3: Cross multiply
    147.60x = 317.51 × 317.51
  4. Step 4: Simplify right side
    147.60x = 100,814.93
  5. Step 5: Solve for x
    x = 100,814.93/147.60
  6. Step 6: Final answer
    x = 683.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.