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Finding the Third Proportional to 116,352 and 241,344

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Solution

The third proportional to 116,352 and 241,344 is: 500,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,352 : 241,344 = 241,344 : x
  2. Step 2: Convert to fraction form
    116,352/241,344 = 241,344/x
  3. Step 3: Cross multiply
    116,352x = 241,344 × 241,344
  4. Step 4: Simplify right side
    116,352x = 58,246,926,336
  5. Step 5: Solve for x
    x = 58,246,926,336/116,352
  6. Step 6: Final answer
    x = 500,609.58

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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.