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Finding the Third Proportional to 176,124 and 272,820

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Solution

The third proportional to 176,124 and 272,820 is: 422,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,124 : 272,820 = 272,820 : x
  2. Step 2: Convert to fraction form
    176,124/272,820 = 272,820/x
  3. Step 3: Cross multiply
    176,124x = 272,820 × 272,820
  4. Step 4: Simplify right side
    176,124x = 74,430,752,400
  5. Step 5: Solve for x
    x = 74,430,752,400/176,124
  6. Step 6: Final answer
    x = 422,604.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.