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Finding the Third Proportional to 163,874 and 249,230

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Solution

The third proportional to 163,874 and 249,230 is: 379,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,874 : 249,230 = 249,230 : x
  2. Step 2: Convert to fraction form
    163,874/249,230 = 249,230/x
  3. Step 3: Cross multiply
    163,874x = 249,230 × 249,230
  4. Step 4: Simplify right side
    163,874x = 62,115,592,900
  5. Step 5: Solve for x
    x = 62,115,592,900/163,874
  6. Step 6: Final answer
    x = 379,044.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.