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Finding the Third Proportional to 112,222 and 245,558

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Solution

The third proportional to 112,222 and 245,558 is: 537,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,222 : 245,558 = 245,558 : x
  2. Step 2: Convert to fraction form
    112,222/245,558 = 245,558/x
  3. Step 3: Cross multiply
    112,222x = 245,558 × 245,558
  4. Step 4: Simplify right side
    112,222x = 60,298,731,364
  5. Step 5: Solve for x
    x = 60,298,731,364/112,222
  6. Step 6: Final answer
    x = 537,316.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.