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Finding the Third Proportional to 231,456 and 360,716

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Solution

The third proportional to 231,456 and 360,716 is: 562,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,456 : 360,716 = 360,716 : x
  2. Step 2: Convert to fraction form
    231,456/360,716 = 360,716/x
  3. Step 3: Cross multiply
    231,456x = 360,716 × 360,716
  4. Step 4: Simplify right side
    231,456x = 130,116,032,656
  5. Step 5: Solve for x
    x = 130,116,032,656/231,456
  6. Step 6: Final answer
    x = 562,163.14

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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.