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Finding the Third Proportional to 118,730.63 and 256,405.13

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Solution

The third proportional to 118,730.63 and 256,405.13 is: 553,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,730.63 : 256,405.13 = 256,405.13 : x
  2. Step 2: Convert to fraction form
    118,730.63/256,405.13 = 256,405.13/x
  3. Step 3: Cross multiply
    118,730.63x = 256,405.13 × 256,405.13
  4. Step 4: Simplify right side
    118,730.63x = 65,743,588,126.27
  5. Step 5: Solve for x
    x = 65,743,588,126.27/118,730.63
  6. Step 6: Final answer
    x = 553,720.56

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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.