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Finding the Third Proportional to 111,503 and 240,502

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Solution

The third proportional to 111,503 and 240,502 is: 518,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,503 : 240,502 = 240,502 : x
  2. Step 2: Convert to fraction form
    111,503/240,502 = 240,502/x
  3. Step 3: Cross multiply
    111,503x = 240,502 × 240,502
  4. Step 4: Simplify right side
    111,503x = 57,841,212,004
  5. Step 5: Solve for x
    x = 57,841,212,004/111,503
  6. Step 6: Final answer
    x = 518,741.31

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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.