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Finding the Third Proportional to 84,823.50 and 176,623.50

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Solution

The third proportional to 84,823.50 and 176,623.50 is: 367,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,823.50 : 176,623.50 = 176,623.50 : x
  2. Step 2: Convert to fraction form
    84,823.50/176,623.50 = 176,623.50/x
  3. Step 3: Cross multiply
    84,823.50x = 176,623.50 × 176,623.50
  4. Step 4: Simplify right side
    84,823.50x = 31,195,860,752.25
  5. Step 5: Solve for x
    x = 31,195,860,752.25/84,823.50
  6. Step 6: Final answer
    x = 367,773.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.