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Finding the Third Proportional to 111,964 and 241,970

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Solution

The third proportional to 111,964 and 241,970 is: 522,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,964 : 241,970 = 241,970 : x
  2. Step 2: Convert to fraction form
    111,964/241,970 = 241,970/x
  3. Step 3: Cross multiply
    111,964x = 241,970 × 241,970
  4. Step 4: Simplify right side
    111,964x = 58,549,480,900
  5. Step 5: Solve for x
    x = 58,549,480,900/111,964
  6. Step 6: Final answer
    x = 522,931.31

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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.