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Finding the Third Proportional to 174,669 and 355,762.50

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Solution

The third proportional to 174,669 and 355,762.50 is: 724,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,669 : 355,762.50 = 355,762.50 : x
  2. Step 2: Convert to fraction form
    174,669/355,762.50 = 355,762.50/x
  3. Step 3: Cross multiply
    174,669x = 355,762.50 × 355,762.50
  4. Step 4: Simplify right side
    174,669x = 126,566,956,406.25
  5. Step 5: Solve for x
    x = 126,566,956,406.25/174,669
  6. Step 6: Final answer
    x = 724,610.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.