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Finding the Third Proportional to 115,401 and 249,756

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Solution

The third proportional to 115,401 and 249,756 is: 540,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,401 : 249,756 = 249,756 : x
  2. Step 2: Convert to fraction form
    115,401/249,756 = 249,756/x
  3. Step 3: Cross multiply
    115,401x = 249,756 × 249,756
  4. Step 4: Simplify right side
    115,401x = 62,378,059,536
  5. Step 5: Solve for x
    x = 62,378,059,536/115,401
  6. Step 6: Final answer
    x = 540,533.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.