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Finding the Third Proportional to 249,548 and 541,134

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Solution

The third proportional to 249,548 and 541,134 is: 1,173,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,548 : 541,134 = 541,134 : x
  2. Step 2: Convert to fraction form
    249,548/541,134 = 541,134/x
  3. Step 3: Cross multiply
    249,548x = 541,134 × 541,134
  4. Step 4: Simplify right side
    249,548x = 292,826,005,956
  5. Step 5: Solve for x
    x = 292,826,005,956/249,548
  6. Step 6: Final answer
    x = 1,173,425.58

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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.