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Finding the Third Proportional to 111,206 and 244,547

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Solution

The third proportional to 111,206 and 244,547 is: 537,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,206 : 244,547 = 244,547 : x
  2. Step 2: Convert to fraction form
    111,206/244,547 = 244,547/x
  3. Step 3: Cross multiply
    111,206x = 244,547 × 244,547
  4. Step 4: Simplify right side
    111,206x = 59,803,235,209
  5. Step 5: Solve for x
    x = 59,803,235,209/111,206
  6. Step 6: Final answer
    x = 537,769.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.