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Finding the Third Proportional to 165,859 and 249,621

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Solution

The third proportional to 165,859 and 249,621 is: 375,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,859 : 249,621 = 249,621 : x
  2. Step 2: Convert to fraction form
    165,859/249,621 = 249,621/x
  3. Step 3: Cross multiply
    165,859x = 249,621 × 249,621
  4. Step 4: Simplify right side
    165,859x = 62,310,643,641
  5. Step 5: Solve for x
    x = 62,310,643,641/165,859
  6. Step 6: Final answer
    x = 375,684.43

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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.