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Finding the Third Proportional to 176,706 and 264,470

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Solution

The third proportional to 176,706 and 264,470 is: 395,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,706 : 264,470 = 264,470 : x
  2. Step 2: Convert to fraction form
    176,706/264,470 = 264,470/x
  3. Step 3: Cross multiply
    176,706x = 264,470 × 264,470
  4. Step 4: Simplify right side
    176,706x = 69,944,380,900
  5. Step 5: Solve for x
    x = 69,944,380,900/176,706
  6. Step 6: Final answer
    x = 395,823.46

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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.