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Finding the Third Proportional to 111,312 and 247,504

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Solution

The third proportional to 111,312 and 247,504 is: 550,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,312 : 247,504 = 247,504 : x
  2. Step 2: Convert to fraction form
    111,312/247,504 = 247,504/x
  3. Step 3: Cross multiply
    111,312x = 247,504 × 247,504
  4. Step 4: Simplify right side
    111,312x = 61,258,230,016
  5. Step 5: Solve for x
    x = 61,258,230,016/111,312
  6. Step 6: Final answer
    x = 550,329.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.