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Finding the Third Proportional to 230,225 and 355,179.50

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Solution

The third proportional to 230,225 and 355,179.50 is: 547,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,225 : 355,179.50 = 355,179.50 : x
  2. Step 2: Convert to fraction form
    230,225/355,179.50 = 355,179.50/x
  3. Step 3: Cross multiply
    230,225x = 355,179.50 × 355,179.50
  4. Step 4: Simplify right side
    230,225x = 126,152,477,220.25
  5. Step 5: Solve for x
    x = 126,152,477,220.25/230,225
  6. Step 6: Final answer
    x = 547,952.99

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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.