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Finding the Third Proportional to 159,352 and 347,688

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Solution

The third proportional to 159,352 and 347,688 is: 758,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,352 : 347,688 = 347,688 : x
  2. Step 2: Convert to fraction form
    159,352/347,688 = 347,688/x
  3. Step 3: Cross multiply
    159,352x = 347,688 × 347,688
  4. Step 4: Simplify right side
    159,352x = 120,886,945,344
  5. Step 5: Solve for x
    x = 120,886,945,344/159,352
  6. Step 6: Final answer
    x = 758,615.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.