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Finding the Third Proportional to 155,256 and 335,304

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Solution

The third proportional to 155,256 and 335,304 is: 724,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,256 : 335,304 = 335,304 : x
  2. Step 2: Convert to fraction form
    155,256/335,304 = 335,304/x
  3. Step 3: Cross multiply
    155,256x = 335,304 × 335,304
  4. Step 4: Simplify right side
    155,256x = 112,428,772,416
  5. Step 5: Solve for x
    x = 112,428,772,416/155,256
  6. Step 6: Final answer
    x = 724,150.90

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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.