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Finding the Third Proportional to 171,819 and 355,423.50

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Solution

The third proportional to 171,819 and 355,423.50 is: 735,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,819 : 355,423.50 = 355,423.50 : x
  2. Step 2: Convert to fraction form
    171,819/355,423.50 = 355,423.50/x
  3. Step 3: Cross multiply
    171,819x = 355,423.50 × 355,423.50
  4. Step 4: Simplify right side
    171,819x = 126,325,864,352.25
  5. Step 5: Solve for x
    x = 126,325,864,352.25/171,819
  6. Step 6: Final answer
    x = 735,226.40

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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.