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Finding the Third Proportional to 169,518 and 249,093

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Solution

The third proportional to 169,518 and 249,093 is: 366,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,518 : 249,093 = 249,093 : x
  2. Step 2: Convert to fraction form
    169,518/249,093 = 249,093/x
  3. Step 3: Cross multiply
    169,518x = 249,093 × 249,093
  4. Step 4: Simplify right side
    169,518x = 62,047,322,649
  5. Step 5: Solve for x
    x = 62,047,322,649/169,518
  6. Step 6: Final answer
    x = 366,022.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.