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Finding the Third Proportional to 245,852 and 536,196

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Solution

The third proportional to 245,852 and 536,196 is: 1,169,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,852 : 536,196 = 536,196 : x
  2. Step 2: Convert to fraction form
    245,852/536,196 = 536,196/x
  3. Step 3: Cross multiply
    245,852x = 536,196 × 536,196
  4. Step 4: Simplify right side
    245,852x = 287,506,150,416
  5. Step 5: Solve for x
    x = 287,506,150,416/245,852
  6. Step 6: Final answer
    x = 1,169,427.75

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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.