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Finding the Third Proportional to 148,032 and 317,216

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Solution

The third proportional to 148,032 and 317,216 is: 679,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,032 : 317,216 = 317,216 : x
  2. Step 2: Convert to fraction form
    148,032/317,216 = 317,216/x
  3. Step 3: Cross multiply
    148,032x = 317,216 × 317,216
  4. Step 4: Simplify right side
    148,032x = 100,625,990,656
  5. Step 5: Solve for x
    x = 100,625,990,656/148,032
  6. Step 6: Final answer
    x = 679,758.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.