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Finding the Third Proportional to 233,560 and 313,834

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Solution

The third proportional to 233,560 and 313,834 is: 421,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,560 : 313,834 = 313,834 : x
  2. Step 2: Convert to fraction form
    233,560/313,834 = 313,834/x
  3. Step 3: Cross multiply
    233,560x = 313,834 × 313,834
  4. Step 4: Simplify right side
    233,560x = 98,491,779,556
  5. Step 5: Solve for x
    x = 98,491,779,556/233,560
  6. Step 6: Final answer
    x = 421,697.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.