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Finding the Third Proportional to 260,779.50 and 372,214.13

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Solution

The third proportional to 260,779.50 and 372,214.13 is: 531,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,779.50 : 372,214.13 = 372,214.13 : x
  2. Step 2: Convert to fraction form
    260,779.50/372,214.13 = 372,214.13/x
  3. Step 3: Cross multiply
    260,779.50x = 372,214.13 × 372,214.13
  4. Step 4: Simplify right side
    260,779.50x = 138,543,354,849.52
  5. Step 5: Solve for x
    x = 138,543,354,849.52/260,779.50
  6. Step 6: Final answer
    x = 531,266.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.