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Finding the Third Proportional to 265,435 and 422,196

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Solution

The third proportional to 265,435 and 422,196 is: 671,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,435 : 422,196 = 422,196 : x
  2. Step 2: Convert to fraction form
    265,435/422,196 = 422,196/x
  3. Step 3: Cross multiply
    265,435x = 422,196 × 422,196
  4. Step 4: Simplify right side
    265,435x = 178,249,462,416
  5. Step 5: Solve for x
    x = 178,249,462,416/265,435
  6. Step 6: Final answer
    x = 671,537.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.