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Finding the Third Proportional to 165,930 and 249,723

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Solution

The third proportional to 165,930 and 249,723 is: 375,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,930 : 249,723 = 249,723 : x
  2. Step 2: Convert to fraction form
    165,930/249,723 = 249,723/x
  3. Step 3: Cross multiply
    165,930x = 249,723 × 249,723
  4. Step 4: Simplify right side
    165,930x = 62,361,576,729
  5. Step 5: Solve for x
    x = 62,361,576,729/165,930
  6. Step 6: Final answer
    x = 375,830.63

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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.