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Finding the Third Proportional to 178,884 and 250,702.50

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Solution

The third proportional to 178,884 and 250,702.50 is: 351,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,884 : 250,702.50 = 250,702.50 : x
  2. Step 2: Convert to fraction form
    178,884/250,702.50 = 250,702.50/x
  3. Step 3: Cross multiply
    178,884x = 250,702.50 × 250,702.50
  4. Step 4: Simplify right side
    178,884x = 62,851,743,506.25
  5. Step 5: Solve for x
    x = 62,851,743,506.25/178,884
  6. Step 6: Final answer
    x = 351,354.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.