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Finding the Third Proportional to 165,969 and 249,075

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Solution

The third proportional to 165,969 and 249,075 is: 373,794.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,969 : 249,075 = 249,075 : x
  2. Step 2: Convert to fraction form
    165,969/249,075 = 249,075/x
  3. Step 3: Cross multiply
    165,969x = 249,075 × 249,075
  4. Step 4: Simplify right side
    165,969x = 62,038,355,625
  5. Step 5: Solve for x
    x = 62,038,355,625/165,969
  6. Step 6: Final answer
    x = 373,794.84

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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.