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Finding the Third Proportional to 112,289.63 and 257,714.25

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Solution

The third proportional to 112,289.63 and 257,714.25 is: 591,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,289.63 : 257,714.25 = 257,714.25 : x
  2. Step 2: Convert to fraction form
    112,289.63/257,714.25 = 257,714.25/x
  3. Step 3: Cross multiply
    112,289.63x = 257,714.25 × 257,714.25
  4. Step 4: Simplify right side
    112,289.63x = 66,416,634,653.06
  5. Step 5: Solve for x
    x = 66,416,634,653.06/112,289.63
  6. Step 6: Final answer
    x = 591,476.15

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.