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Finding the Third Proportional to 180,433 and 279,352

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Solution

The third proportional to 180,433 and 279,352 is: 432,501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,433 : 279,352 = 279,352 : x
  2. Step 2: Convert to fraction form
    180,433/279,352 = 279,352/x
  3. Step 3: Cross multiply
    180,433x = 279,352 × 279,352
  4. Step 4: Simplify right side
    180,433x = 78,037,539,904
  5. Step 5: Solve for x
    x = 78,037,539,904/180,433
  6. Step 6: Final answer
    x = 432,501.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.