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Finding the Third Proportional to 176,573.67 and 383,248.49

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Solution

The third proportional to 176,573.67 and 383,248.49 is: 831,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,573.67 : 383,248.49 = 383,248.49 : x
  2. Step 2: Convert to fraction form
    176,573.67/383,248.49 = 383,248.49/x
  3. Step 3: Cross multiply
    176,573.67x = 383,248.49 × 383,248.49
  4. Step 4: Simplify right side
    176,573.67x = 146,879,408,261.05
  5. Step 5: Solve for x
    x = 146,879,408,261.05/176,573.67
  6. Step 6: Final answer
    x = 831,830.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.