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Finding the Third Proportional to 249,561 and 541,164

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Solution

The third proportional to 249,561 and 541,164 is: 1,173,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,561 : 541,164 = 541,164 : x
  2. Step 2: Convert to fraction form
    249,561/541,164 = 541,164/x
  3. Step 3: Cross multiply
    249,561x = 541,164 × 541,164
  4. Step 4: Simplify right side
    249,561x = 292,858,474,896
  5. Step 5: Solve for x
    x = 292,858,474,896/249,561
  6. Step 6: Final answer
    x = 1,173,494.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.