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Finding the Third Proportional to 230,701.88 and 361,173.19

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Solution

The third proportional to 230,701.88 and 361,173.19 is: 565,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,701.88 : 361,173.19 = 361,173.19 : x
  2. Step 2: Convert to fraction form
    230,701.88/361,173.19 = 361,173.19/x
  3. Step 3: Cross multiply
    230,701.88x = 361,173.19 × 361,173.19
  4. Step 4: Simplify right side
    230,701.88x = 130,446,071,368.91
  5. Step 5: Solve for x
    x = 130,446,071,368.91/230,701.88
  6. Step 6: Final answer
    x = 565,431.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.