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Finding the Third Proportional to 144,662 and 317,347

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Solution

The third proportional to 144,662 and 317,347 is: 696,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,662 : 317,347 = 317,347 : x
  2. Step 2: Convert to fraction form
    144,662/317,347 = 317,347/x
  3. Step 3: Cross multiply
    144,662x = 317,347 × 317,347
  4. Step 4: Simplify right side
    144,662x = 100,709,118,409
  5. Step 5: Solve for x
    x = 100,709,118,409/144,662
  6. Step 6: Final answer
    x = 696,168.44

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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.