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Finding the Third Proportional to 170,058 and 249,891

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Solution

The third proportional to 170,058 and 249,891 is: 367,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,058 : 249,891 = 249,891 : x
  2. Step 2: Convert to fraction form
    170,058/249,891 = 249,891/x
  3. Step 3: Cross multiply
    170,058x = 249,891 × 249,891
  4. Step 4: Simplify right side
    170,058x = 62,445,511,881
  5. Step 5: Solve for x
    x = 62,445,511,881/170,058
  6. Step 6: Final answer
    x = 367,201.26

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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.