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Finding the Third Proportional to 235,390 and 302,235

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Solution

The third proportional to 235,390 and 302,235 is: 388,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,390 : 302,235 = 302,235 : x
  2. Step 2: Convert to fraction form
    235,390/302,235 = 302,235/x
  3. Step 3: Cross multiply
    235,390x = 302,235 × 302,235
  4. Step 4: Simplify right side
    235,390x = 91,345,995,225
  5. Step 5: Solve for x
    x = 91,345,995,225/235,390
  6. Step 6: Final answer
    x = 388,062.34

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.