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Finding the Third Proportional to 254,129 and 372,706

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Solution

The third proportional to 254,129 and 372,706 is: 546,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,129 : 372,706 = 372,706 : x
  2. Step 2: Convert to fraction form
    254,129/372,706 = 372,706/x
  3. Step 3: Cross multiply
    254,129x = 372,706 × 372,706
  4. Step 4: Simplify right side
    254,129x = 138,909,762,436
  5. Step 5: Solve for x
    x = 138,909,762,436/254,129
  6. Step 6: Final answer
    x = 546,611.22

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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.