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Finding the Third Proportional to 176,274 and 264,798

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Solution

The third proportional to 176,274 and 264,798 is: 397,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,274 : 264,798 = 264,798 : x
  2. Step 2: Convert to fraction form
    176,274/264,798 = 264,798/x
  3. Step 3: Cross multiply
    176,274x = 264,798 × 264,798
  4. Step 4: Simplify right side
    176,274x = 70,117,980,804
  5. Step 5: Solve for x
    x = 70,117,980,804/176,274
  6. Step 6: Final answer
    x = 397,778.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.