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Finding the Third Proportional to 111,257 and 246,537

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Solution

The third proportional to 111,257 and 246,537 is: 546,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,257 : 246,537 = 246,537 : x
  2. Step 2: Convert to fraction form
    111,257/246,537 = 246,537/x
  3. Step 3: Cross multiply
    111,257x = 246,537 × 246,537
  4. Step 4: Simplify right side
    111,257x = 60,780,492,369
  5. Step 5: Solve for x
    x = 60,780,492,369/111,257
  6. Step 6: Final answer
    x = 546,307.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.