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Finding the Third Proportional to 233,468 and 346,800

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Solution

The third proportional to 233,468 and 346,800 is: 515,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,468 : 346,800 = 346,800 : x
  2. Step 2: Convert to fraction form
    233,468/346,800 = 346,800/x
  3. Step 3: Cross multiply
    233,468x = 346,800 × 346,800
  4. Step 4: Simplify right side
    233,468x = 120,270,240,000
  5. Step 5: Solve for x
    x = 120,270,240,000/233,468
  6. Step 6: Final answer
    x = 515,146.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.