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Finding the Third Proportional to 165,841 and 249,247

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Solution

The third proportional to 165,841 and 249,247 is: 374,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,841 : 249,247 = 249,247 : x
  2. Step 2: Convert to fraction form
    165,841/249,247 = 249,247/x
  3. Step 3: Cross multiply
    165,841x = 249,247 × 249,247
  4. Step 4: Simplify right side
    165,841x = 62,124,067,009
  5. Step 5: Solve for x
    x = 62,124,067,009/165,841
  6. Step 6: Final answer
    x = 374,600.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.