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Finding the Third Proportional to 255,153.75 and 549,308.63

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Solution

The third proportional to 255,153.75 and 549,308.63 is: 1,182,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,153.75 : 549,308.63 = 549,308.63 : x
  2. Step 2: Convert to fraction form
    255,153.75/549,308.63 = 549,308.63/x
  3. Step 3: Cross multiply
    255,153.75x = 549,308.63 × 549,308.63
  4. Step 4: Simplify right side
    255,153.75x = 301,739,965,499.39
  5. Step 5: Solve for x
    x = 301,739,965,499.39/255,153.75
  6. Step 6: Final answer
    x = 1,182,580.96

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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.