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Finding the Third Proportional to 111,575 and 245,263

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Solution

The third proportional to 111,575 and 245,263 is: 539,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,575 : 245,263 = 245,263 : x
  2. Step 2: Convert to fraction form
    111,575/245,263 = 245,263/x
  3. Step 3: Cross multiply
    111,575x = 245,263 × 245,263
  4. Step 4: Simplify right side
    111,575x = 60,153,939,169
  5. Step 5: Solve for x
    x = 60,153,939,169/111,575
  6. Step 6: Final answer
    x = 539,134.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.