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Finding the Third Proportional to 255,161.25 and 549,322.75

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Solution

The third proportional to 255,161.25 and 549,322.75 is: 1,182,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,161.25 : 549,322.75 = 549,322.75 : x
  2. Step 2: Convert to fraction form
    255,161.25/549,322.75 = 549,322.75/x
  3. Step 3: Cross multiply
    255,161.25x = 549,322.75 × 549,322.75
  4. Step 4: Simplify right side
    255,161.25x = 301,755,483,667.56
  5. Step 5: Solve for x
    x = 301,755,483,667.56/255,161.25
  6. Step 6: Final answer
    x = 1,182,607.01

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