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Finding the Third Proportional to 230,271 and 355,248

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Solution

The third proportional to 230,271 and 355,248 is: 548,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,271 : 355,248 = 355,248 : x
  2. Step 2: Convert to fraction form
    230,271/355,248 = 355,248/x
  3. Step 3: Cross multiply
    230,271x = 355,248 × 355,248
  4. Step 4: Simplify right side
    230,271x = 126,201,141,504
  5. Step 5: Solve for x
    x = 126,201,141,504/230,271
  6. Step 6: Final answer
    x = 548,054.86

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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.