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Finding the Third Proportional to 254,232 and 372,846

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Solution

The third proportional to 254,232 and 372,846 is: 546,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,232 : 372,846 = 372,846 : x
  2. Step 2: Convert to fraction form
    254,232/372,846 = 372,846/x
  3. Step 3: Cross multiply
    254,232x = 372,846 × 372,846
  4. Step 4: Simplify right side
    254,232x = 139,014,139,716
  5. Step 5: Solve for x
    x = 139,014,139,716/254,232
  6. Step 6: Final answer
    x = 546,800.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.