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Finding the Third Proportional to 155,714.63 and 254,269.13

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Solution

The third proportional to 155,714.63 and 254,269.13 is: 415,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,714.63 : 254,269.13 = 254,269.13 : x
  2. Step 2: Convert to fraction form
    155,714.63/254,269.13 = 254,269.13/x
  3. Step 3: Cross multiply
    155,714.63x = 254,269.13 × 254,269.13
  4. Step 4: Simplify right side
    155,714.63x = 64,652,787,928.27
  5. Step 5: Solve for x
    x = 64,652,787,928.27/155,714.63
  6. Step 6: Final answer
    x = 415,200.49

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.