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Finding the Third Proportional to 230,827.55 and 368,751.91

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Solution

The third proportional to 230,827.55 and 368,751.91 is: 589,089.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,827.55 : 368,751.91 = 368,751.91 : x
  2. Step 2: Convert to fraction form
    230,827.55/368,751.91 = 368,751.91/x
  3. Step 3: Cross multiply
    230,827.55x = 368,751.91 × 368,751.91
  4. Step 4: Simplify right side
    230,827.55x = 135,977,968,723.11
  5. Step 5: Solve for x
    x = 135,977,968,723.11/230,827.55
  6. Step 6: Final answer
    x = 589,089.00

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.