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Finding the Third Proportional to 112,196 and 245,506

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Solution

The third proportional to 112,196 and 245,506 is: 537,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,196 : 245,506 = 245,506 : x
  2. Step 2: Convert to fraction form
    112,196/245,506 = 245,506/x
  3. Step 3: Cross multiply
    112,196x = 245,506 × 245,506
  4. Step 4: Simplify right side
    112,196x = 60,273,196,036
  5. Step 5: Solve for x
    x = 60,273,196,036/112,196
  6. Step 6: Final answer
    x = 537,213.41

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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.