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Finding the Third Proportional to 249,944 and 357,167

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Solution

The third proportional to 249,944 and 357,167 is: 510,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,944 : 357,167 = 357,167 : x
  2. Step 2: Convert to fraction form
    249,944/357,167 = 357,167/x
  3. Step 3: Cross multiply
    249,944x = 357,167 × 357,167
  4. Step 4: Simplify right side
    249,944x = 127,568,265,889
  5. Step 5: Solve for x
    x = 127,568,265,889/249,944
  6. Step 6: Final answer
    x = 510,387.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.