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Finding the Third Proportional to 249,550 and 541,138

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Solution

The third proportional to 249,550 and 541,138 is: 1,173,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,550 : 541,138 = 541,138 : x
  2. Step 2: Convert to fraction form
    249,550/541,138 = 541,138/x
  3. Step 3: Cross multiply
    249,550x = 541,138 × 541,138
  4. Step 4: Simplify right side
    249,550x = 292,830,335,044
  5. Step 5: Solve for x
    x = 292,830,335,044/249,550
  6. Step 6: Final answer
    x = 1,173,433.52

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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.