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Finding the Third Proportional to 171,404 and 354,724

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Solution

The third proportional to 171,404 and 354,724 is: 734,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,404 : 354,724 = 354,724 : x
  2. Step 2: Convert to fraction form
    171,404/354,724 = 354,724/x
  3. Step 3: Cross multiply
    171,404x = 354,724 × 354,724
  4. Step 4: Simplify right side
    171,404x = 125,829,116,176
  5. Step 5: Solve for x
    x = 125,829,116,176/171,404
  6. Step 6: Final answer
    x = 734,108.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.