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Finding the Third Proportional to 254,348 and 377,202

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Solution

The third proportional to 254,348 and 377,202 is: 559,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,348 : 377,202 = 377,202 : x
  2. Step 2: Convert to fraction form
    254,348/377,202 = 377,202/x
  3. Step 3: Cross multiply
    254,348x = 377,202 × 377,202
  4. Step 4: Simplify right side
    254,348x = 142,281,348,804
  5. Step 5: Solve for x
    x = 142,281,348,804/254,348
  6. Step 6: Final answer
    x = 559,396.37

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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.