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Finding the Third Proportional to 117,858 and 254,541

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Solution

The third proportional to 117,858 and 254,541 is: 549,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,858 : 254,541 = 254,541 : x
  2. Step 2: Convert to fraction form
    117,858/254,541 = 254,541/x
  3. Step 3: Cross multiply
    117,858x = 254,541 × 254,541
  4. Step 4: Simplify right side
    117,858x = 64,791,120,681
  5. Step 5: Solve for x
    x = 64,791,120,681/117,858
  6. Step 6: Final answer
    x = 549,738.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.