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Finding the Third Proportional to 295,176 and 461,196

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Solution

The third proportional to 295,176 and 461,196 is: 720,592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,176 : 461,196 = 461,196 : x
  2. Step 2: Convert to fraction form
    295,176/461,196 = 461,196/x
  3. Step 3: Cross multiply
    295,176x = 461,196 × 461,196
  4. Step 4: Simplify right side
    295,176x = 212,701,750,416
  5. Step 5: Solve for x
    x = 212,701,750,416/295,176
  6. Step 6: Final answer
    x = 720,592.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.