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Finding the Third Proportional to 170,448 and 254,700

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Solution

The third proportional to 170,448 and 254,700 is: 380,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,448 : 254,700 = 254,700 : x
  2. Step 2: Convert to fraction form
    170,448/254,700 = 254,700/x
  3. Step 3: Cross multiply
    170,448x = 254,700 × 254,700
  4. Step 4: Simplify right side
    170,448x = 64,872,090,000
  5. Step 5: Solve for x
    x = 64,872,090,000/170,448
  6. Step 6: Final answer
    x = 380,597.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.