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Finding the Third Proportional to 181,316 and 254,880

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Solution

The third proportional to 181,316 and 254,880 is: 358,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,316 : 254,880 = 254,880 : x
  2. Step 2: Convert to fraction form
    181,316/254,880 = 254,880/x
  3. Step 3: Cross multiply
    181,316x = 254,880 × 254,880
  4. Step 4: Simplify right side
    181,316x = 64,963,814,400
  5. Step 5: Solve for x
    x = 64,963,814,400/181,316
  6. Step 6: Final answer
    x = 358,290.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.