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Finding the Third Proportional to 85,618 and 182,316

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Solution

The third proportional to 85,618 and 182,316 is: 388,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,618 : 182,316 = 182,316 : x
  2. Step 2: Convert to fraction form
    85,618/182,316 = 182,316/x
  3. Step 3: Cross multiply
    85,618x = 182,316 × 182,316
  4. Step 4: Simplify right side
    85,618x = 33,239,123,856
  5. Step 5: Solve for x
    x = 33,239,123,856/85,618
  6. Step 6: Final answer
    x = 388,225.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.