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Finding the Third Proportional to 176,312 and 264,859

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Solution

The third proportional to 176,312 and 264,859 is: 397,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,312 : 264,859 = 264,859 : x
  2. Step 2: Convert to fraction form
    176,312/264,859 = 264,859/x
  3. Step 3: Cross multiply
    176,312x = 264,859 × 264,859
  4. Step 4: Simplify right side
    176,312x = 70,150,289,881
  5. Step 5: Solve for x
    x = 70,150,289,881/176,312
  6. Step 6: Final answer
    x = 397,875.87

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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.