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Finding the Third Proportional to 174,507 and 276,773

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Solution

The third proportional to 174,507 and 276,773 is: 438,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,507 : 276,773 = 276,773 : x
  2. Step 2: Convert to fraction form
    174,507/276,773 = 276,773/x
  3. Step 3: Cross multiply
    174,507x = 276,773 × 276,773
  4. Step 4: Simplify right side
    174,507x = 76,603,293,529
  5. Step 5: Solve for x
    x = 76,603,293,529/174,507
  6. Step 6: Final answer
    x = 438,969.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.