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Finding the Third Proportional to 115,476 and 248,142

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Solution

The third proportional to 115,476 and 248,142 is: 533,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,476 : 248,142 = 248,142 : x
  2. Step 2: Convert to fraction form
    115,476/248,142 = 248,142/x
  3. Step 3: Cross multiply
    115,476x = 248,142 × 248,142
  4. Step 4: Simplify right side
    115,476x = 61,574,452,164
  5. Step 5: Solve for x
    x = 61,574,452,164/115,476
  6. Step 6: Final answer
    x = 533,222.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.