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Finding the Third Proportional to 174,979.50 and 361,000.13

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Solution

The third proportional to 174,979.50 and 361,000.13 is: 744,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,979.50 : 361,000.13 = 361,000.13 : x
  2. Step 2: Convert to fraction form
    174,979.50/361,000.13 = 361,000.13/x
  3. Step 3: Cross multiply
    174,979.50x = 361,000.13 × 361,000.13
  4. Step 4: Simplify right side
    174,979.50x = 130,321,090,250.02
  5. Step 5: Solve for x
    x = 130,321,090,250.02/174,979.50
  6. Step 6: Final answer
    x = 744,779.19

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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.