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Finding the Third Proportional to 164,898 and 249,678

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Solution

The third proportional to 164,898 and 249,678 is: 378,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,898 : 249,678 = 249,678 : x
  2. Step 2: Convert to fraction form
    164,898/249,678 = 249,678/x
  3. Step 3: Cross multiply
    164,898x = 249,678 × 249,678
  4. Step 4: Simplify right side
    164,898x = 62,339,103,684
  5. Step 5: Solve for x
    x = 62,339,103,684/164,898
  6. Step 6: Final answer
    x = 378,046.45

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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.