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Finding the Third Proportional to 230,333.63 and 355,341.94

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Solution

The third proportional to 230,333.63 and 355,341.94 is: 548,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,333.63 : 355,341.94 = 355,341.94 : x
  2. Step 2: Convert to fraction form
    230,333.63/355,341.94 = 355,341.94/x
  3. Step 3: Cross multiply
    230,333.63x = 355,341.94 × 355,341.94
  4. Step 4: Simplify right side
    230,333.63x = 126,267,892,546.25
  5. Step 5: Solve for x
    x = 126,267,892,546.25/230,333.63
  6. Step 6: Final answer
    x = 548,195.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.