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Finding the Third Proportional to 110,513 and 238,509

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Solution

The third proportional to 110,513 and 238,509 is: 514,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,513 : 238,509 = 238,509 : x
  2. Step 2: Convert to fraction form
    110,513/238,509 = 238,509/x
  3. Step 3: Cross multiply
    110,513x = 238,509 × 238,509
  4. Step 4: Simplify right side
    110,513x = 56,886,543,081
  5. Step 5: Solve for x
    x = 56,886,543,081/110,513
  6. Step 6: Final answer
    x = 514,749.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.