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Finding the Third Proportional to 174,948.19 and 360,937.69

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Solution

The third proportional to 174,948.19 and 360,937.69 is: 744,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,948.19 : 360,937.69 = 360,937.69 : x
  2. Step 2: Convert to fraction form
    174,948.19/360,937.69 = 360,937.69/x
  3. Step 3: Cross multiply
    174,948.19x = 360,937.69 × 360,937.69
  4. Step 4: Simplify right side
    174,948.19x = 130,276,014,257.85
  5. Step 5: Solve for x
    x = 130,276,014,257.85/174,948.19
  6. Step 6: Final answer
    x = 744,654.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.