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Finding the Third Proportional to 117,576 and 249,678

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Solution

The third proportional to 117,576 and 249,678 is: 530,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,576 : 249,678 = 249,678 : x
  2. Step 2: Convert to fraction form
    117,576/249,678 = 249,678/x
  3. Step 3: Cross multiply
    117,576x = 249,678 × 249,678
  4. Step 4: Simplify right side
    117,576x = 62,339,103,684
  5. Step 5: Solve for x
    x = 62,339,103,684/117,576
  6. Step 6: Final answer
    x = 530,202.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.