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Finding the Third Proportional to 161,047 and 342,884

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Solution

The third proportional to 161,047 and 342,884 is: 730,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,047 : 342,884 = 342,884 : x
  2. Step 2: Convert to fraction form
    161,047/342,884 = 342,884/x
  3. Step 3: Cross multiply
    161,047x = 342,884 × 342,884
  4. Step 4: Simplify right side
    161,047x = 117,569,437,456
  5. Step 5: Solve for x
    x = 117,569,437,456/161,047
  6. Step 6: Final answer
    x = 730,031.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.