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Finding the Third Proportional to 118,301.63 and 256,276.13

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Solution

The third proportional to 118,301.63 and 256,276.13 is: 555,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,301.63 : 256,276.13 = 256,276.13 : x
  2. Step 2: Convert to fraction form
    118,301.63/256,276.13 = 256,276.13/x
  3. Step 3: Cross multiply
    118,301.63x = 256,276.13 × 256,276.13
  4. Step 4: Simplify right side
    118,301.63x = 65,677,452,245.02
  5. Step 5: Solve for x
    x = 65,677,452,245.02/118,301.63
  6. Step 6: Final answer
    x = 555,169.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.