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Finding the Third Proportional to 111,618 and 242,922

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Solution

The third proportional to 111,618 and 242,922 is: 528,688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,618 : 242,922 = 242,922 : x
  2. Step 2: Convert to fraction form
    111,618/242,922 = 242,922/x
  3. Step 3: Cross multiply
    111,618x = 242,922 × 242,922
  4. Step 4: Simplify right side
    111,618x = 59,011,098,084
  5. Step 5: Solve for x
    x = 59,011,098,084/111,618
  6. Step 6: Final answer
    x = 528,688.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.