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Finding the Third Proportional to 295,168 and 461,184

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Solution

The third proportional to 295,168 and 461,184 is: 720,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,168 : 461,184 = 461,184 : x
  2. Step 2: Convert to fraction form
    295,168/461,184 = 461,184/x
  3. Step 3: Cross multiply
    295,168x = 461,184 × 461,184
  4. Step 4: Simplify right side
    295,168x = 212,690,681,856
  5. Step 5: Solve for x
    x = 212,690,681,856/295,168
  6. Step 6: Final answer
    x = 720,575.00

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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.