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Finding the Third Proportional to 255,191 and 549,378

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Solution

The third proportional to 255,191 and 549,378 is: 1,182,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,191 : 549,378 = 549,378 : x
  2. Step 2: Convert to fraction form
    255,191/549,378 = 549,378/x
  3. Step 3: Cross multiply
    255,191x = 549,378 × 549,378
  4. Step 4: Simplify right side
    255,191x = 301,816,186,884
  5. Step 5: Solve for x
    x = 301,816,186,884/255,191
  6. Step 6: Final answer
    x = 1,182,707.02

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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.