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Finding the Third Proportional to 170,618 and 367,154

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Solution

The third proportional to 170,618 and 367,154 is: 790,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,618 : 367,154 = 367,154 : x
  2. Step 2: Convert to fraction form
    170,618/367,154 = 367,154/x
  3. Step 3: Cross multiply
    170,618x = 367,154 × 367,154
  4. Step 4: Simplify right side
    170,618x = 134,802,059,716
  5. Step 5: Solve for x
    x = 134,802,059,716/170,618
  6. Step 6: Final answer
    x = 790,081.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.