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Finding the Third Proportional to 165,853.50 and 249,975

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Solution

The third proportional to 165,853.50 and 249,975 is: 376,763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,853.50 : 249,975 = 249,975 : x
  2. Step 2: Convert to fraction form
    165,853.50/249,975 = 249,975/x
  3. Step 3: Cross multiply
    165,853.50x = 249,975 × 249,975
  4. Step 4: Simplify right side
    165,853.50x = 62,487,500,625
  5. Step 5: Solve for x
    x = 62,487,500,625/165,853.50
  6. Step 6: Final answer
    x = 376,763.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.