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Finding the Third Proportional to 254,352 and 377,208

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Solution

The third proportional to 254,352 and 377,208 is: 559,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,352 : 377,208 = 377,208 : x
  2. Step 2: Convert to fraction form
    254,352/377,208 = 377,208/x
  3. Step 3: Cross multiply
    254,352x = 377,208 × 377,208
  4. Step 4: Simplify right side
    254,352x = 142,285,875,264
  5. Step 5: Solve for x
    x = 142,285,875,264/254,352
  6. Step 6: Final answer
    x = 559,405.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.