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Finding the Third Proportional to 254,094 and 371,590

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Solution

The third proportional to 254,094 and 371,590 is: 543,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,094 : 371,590 = 371,590 : x
  2. Step 2: Convert to fraction form
    254,094/371,590 = 371,590/x
  3. Step 3: Cross multiply
    254,094x = 371,590 × 371,590
  4. Step 4: Simplify right side
    254,094x = 138,079,128,100
  5. Step 5: Solve for x
    x = 138,079,128,100/254,094
  6. Step 6: Final answer
    x = 543,417.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.