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Finding the Third Proportional to 166,304 and 317,284

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Solution

The third proportional to 166,304 and 317,284 is: 605,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,304 : 317,284 = 317,284 : x
  2. Step 2: Convert to fraction form
    166,304/317,284 = 317,284/x
  3. Step 3: Cross multiply
    166,304x = 317,284 × 317,284
  4. Step 4: Simplify right side
    166,304x = 100,669,136,656
  5. Step 5: Solve for x
    x = 100,669,136,656/166,304
  6. Step 6: Final answer
    x = 605,332.02

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.