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Finding the Third Proportional to 255,338 and 549,124

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Solution

The third proportional to 255,338 and 549,124 is: 1,180,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,338 : 549,124 = 549,124 : x
  2. Step 2: Convert to fraction form
    255,338/549,124 = 549,124/x
  3. Step 3: Cross multiply
    255,338x = 549,124 × 549,124
  4. Step 4: Simplify right side
    255,338x = 301,537,167,376
  5. Step 5: Solve for x
    x = 301,537,167,376/255,338
  6. Step 6: Final answer
    x = 1,180,933.38

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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.