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Finding the Third Proportional to 162,590.25 and 347,779.50

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Solution

The third proportional to 162,590.25 and 347,779.50 is: 743,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,590.25 : 347,779.50 = 347,779.50 : x
  2. Step 2: Convert to fraction form
    162,590.25/347,779.50 = 347,779.50/x
  3. Step 3: Cross multiply
    162,590.25x = 347,779.50 × 347,779.50
  4. Step 4: Simplify right side
    162,590.25x = 120,950,580,620.25
  5. Step 5: Solve for x
    x = 120,950,580,620.25/162,590.25
  6. Step 6: Final answer
    x = 743,898.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.