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Finding the Third Proportional to 116,952 and 241,926

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Solution

The third proportional to 116,952 and 241,926 is: 500,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,952 : 241,926 = 241,926 : x
  2. Step 2: Convert to fraction form
    116,952/241,926 = 241,926/x
  3. Step 3: Cross multiply
    116,952x = 241,926 × 241,926
  4. Step 4: Simplify right side
    116,952x = 58,528,189,476
  5. Step 5: Solve for x
    x = 58,528,189,476/116,952
  6. Step 6: Final answer
    x = 500,446.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.