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Finding the Third Proportional to 145,434 and 317,148

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Solution

The third proportional to 145,434 and 317,148 is: 691,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,434 : 317,148 = 317,148 : x
  2. Step 2: Convert to fraction form
    145,434/317,148 = 317,148/x
  3. Step 3: Cross multiply
    145,434x = 317,148 × 317,148
  4. Step 4: Simplify right side
    145,434x = 100,582,853,904
  5. Step 5: Solve for x
    x = 100,582,853,904/145,434
  6. Step 6: Final answer
    x = 691,604.81

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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.