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Finding the Third Proportional to 111,924 and 241,574

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Solution

The third proportional to 111,924 and 241,574 is: 521,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,924 : 241,574 = 241,574 : x
  2. Step 2: Convert to fraction form
    111,924/241,574 = 241,574/x
  3. Step 3: Cross multiply
    111,924x = 241,574 × 241,574
  4. Step 4: Simplify right side
    111,924x = 58,357,997,476
  5. Step 5: Solve for x
    x = 58,357,997,476/111,924
  6. Step 6: Final answer
    x = 521,407.36

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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.