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Finding the Third Proportional to 117,746 and 254,442

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Solution

The third proportional to 117,746 and 254,442 is: 549,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,746 : 254,442 = 254,442 : x
  2. Step 2: Convert to fraction form
    117,746/254,442 = 254,442/x
  3. Step 3: Cross multiply
    117,746x = 254,442 × 254,442
  4. Step 4: Simplify right side
    117,746x = 64,740,731,364
  5. Step 5: Solve for x
    x = 64,740,731,364/117,746
  6. Step 6: Final answer
    x = 549,833.81

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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.