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Finding the Third Proportional to 159,968 and 370,334

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Solution

The third proportional to 159,968 and 370,334 is: 857,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,968 : 370,334 = 370,334 : x
  2. Step 2: Convert to fraction form
    159,968/370,334 = 370,334/x
  3. Step 3: Cross multiply
    159,968x = 370,334 × 370,334
  4. Step 4: Simplify right side
    159,968x = 137,147,271,556
  5. Step 5: Solve for x
    x = 137,147,271,556/159,968
  6. Step 6: Final answer
    x = 857,341.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.