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Finding the Third Proportional to 171,534 and 354,783

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Solution

The third proportional to 171,534 and 354,783 is: 733,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,534 : 354,783 = 354,783 : x
  2. Step 2: Convert to fraction form
    171,534/354,783 = 354,783/x
  3. Step 3: Cross multiply
    171,534x = 354,783 × 354,783
  4. Step 4: Simplify right side
    171,534x = 125,870,977,089
  5. Step 5: Solve for x
    x = 125,870,977,089/171,534
  6. Step 6: Final answer
    x = 733,796.08

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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.