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Finding the Third Proportional to 255,165.75 and 549,330.75

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Solution

The third proportional to 255,165.75 and 549,330.75 is: 1,182,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,165.75 : 549,330.75 = 549,330.75 : x
  2. Step 2: Convert to fraction form
    255,165.75/549,330.75 = 549,330.75/x
  3. Step 3: Cross multiply
    255,165.75x = 549,330.75 × 549,330.75
  4. Step 4: Simplify right side
    255,165.75x = 301,764,272,895.56
  5. Step 5: Solve for x
    x = 301,764,272,895.56/255,165.75
  6. Step 6: Final answer
    x = 1,182,620.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.