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Finding the Third Proportional to 255,163 and 549,327

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Solution

The third proportional to 255,163 and 549,327 is: 1,182,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,163 : 549,327 = 549,327 : x
  2. Step 2: Convert to fraction form
    255,163/549,327 = 549,327/x
  3. Step 3: Cross multiply
    255,163x = 549,327 × 549,327
  4. Step 4: Simplify right side
    255,163x = 301,760,152,929
  5. Step 5: Solve for x
    x = 301,760,152,929/255,163
  6. Step 6: Final answer
    x = 1,182,617.20

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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.