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Finding the Third Proportional to 176,972 and 265,477

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Solution

The third proportional to 176,972 and 265,477 is: 398,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,972 : 265,477 = 265,477 : x
  2. Step 2: Convert to fraction form
    176,972/265,477 = 265,477/x
  3. Step 3: Cross multiply
    176,972x = 265,477 × 265,477
  4. Step 4: Simplify right side
    176,972x = 70,478,037,529
  5. Step 5: Solve for x
    x = 70,478,037,529/176,972
  6. Step 6: Final answer
    x = 398,244.00

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Why These Related Problems?

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