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Finding the Third Proportional to 116,767 and 180,618

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Solution

The third proportional to 116,767 and 180,618 is: 279,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,767 : 180,618 = 180,618 : x
  2. Step 2: Convert to fraction form
    116,767/180,618 = 180,618/x
  3. Step 3: Cross multiply
    116,767x = 180,618 × 180,618
  4. Step 4: Simplify right side
    116,767x = 32,622,861,924
  5. Step 5: Solve for x
    x = 32,622,861,924/116,767
  6. Step 6: Final answer
    x = 279,384.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.