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Finding the Third Proportional to 155,511 and 220,006.50

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Solution

The third proportional to 155,511 and 220,006.50 is: 311,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,511 : 220,006.50 = 220,006.50 : x
  2. Step 2: Convert to fraction form
    155,511/220,006.50 = 220,006.50/x
  3. Step 3: Cross multiply
    155,511x = 220,006.50 × 220,006.50
  4. Step 4: Simplify right side
    155,511x = 48,402,860,042.25
  5. Step 5: Solve for x
    x = 48,402,860,042.25/155,511
  6. Step 6: Final answer
    x = 311,250.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.