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Finding the Third Proportional to 223,987 and 346,815.50

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Solution

The third proportional to 223,987 and 346,815.50 is: 536,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,987 : 346,815.50 = 346,815.50 : x
  2. Step 2: Convert to fraction form
    223,987/346,815.50 = 346,815.50/x
  3. Step 3: Cross multiply
    223,987x = 346,815.50 × 346,815.50
  4. Step 4: Simplify right side
    223,987x = 120,280,991,040.25
  5. Step 5: Solve for x
    x = 120,280,991,040.25/223,987
  6. Step 6: Final answer
    x = 536,999.88

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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.