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Finding the Third Proportional to 251,534 and 380,541

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Solution

The third proportional to 251,534 and 380,541 is: 575,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,534 : 380,541 = 380,541 : x
  2. Step 2: Convert to fraction form
    251,534/380,541 = 380,541/x
  3. Step 3: Cross multiply
    251,534x = 380,541 × 380,541
  4. Step 4: Simplify right side
    251,534x = 144,811,452,681
  5. Step 5: Solve for x
    x = 144,811,452,681/251,534
  6. Step 6: Final answer
    x = 575,713.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.