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Finding the Third Proportional to 116,725 and 227,618

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Solution

The third proportional to 116,725 and 227,618 is: 443,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,725 : 227,618 = 227,618 : x
  2. Step 2: Convert to fraction form
    116,725/227,618 = 227,618/x
  3. Step 3: Cross multiply
    116,725x = 227,618 × 227,618
  4. Step 4: Simplify right side
    116,725x = 51,809,953,924
  5. Step 5: Solve for x
    x = 51,809,953,924/116,725
  6. Step 6: Final answer
    x = 443,863.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.