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Finding the Third Proportional to 174,624 and 255,888

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Solution

The third proportional to 174,624 and 255,888 is: 374,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,624 : 255,888 = 255,888 : x
  2. Step 2: Convert to fraction form
    174,624/255,888 = 255,888/x
  3. Step 3: Cross multiply
    174,624x = 255,888 × 255,888
  4. Step 4: Simplify right side
    174,624x = 65,478,668,544
  5. Step 5: Solve for x
    x = 65,478,668,544/174,624
  6. Step 6: Final answer
    x = 374,969.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.