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Finding the Third Proportional to 125,182 and 256,196

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Solution

The third proportional to 125,182 and 256,196 is: 524,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,182 : 256,196 = 256,196 : x
  2. Step 2: Convert to fraction form
    125,182/256,196 = 256,196/x
  3. Step 3: Cross multiply
    125,182x = 256,196 × 256,196
  4. Step 4: Simplify right side
    125,182x = 65,636,390,416
  5. Step 5: Solve for x
    x = 65,636,390,416/125,182
  6. Step 6: Final answer
    x = 524,327.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.