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Finding the Third Proportional to 140,516 and 249,844

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Solution

The third proportional to 140,516 and 249,844 is: 444,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,516 : 249,844 = 249,844 : x
  2. Step 2: Convert to fraction form
    140,516/249,844 = 249,844/x
  3. Step 3: Cross multiply
    140,516x = 249,844 × 249,844
  4. Step 4: Simplify right side
    140,516x = 62,422,024,336
  5. Step 5: Solve for x
    x = 62,422,024,336/140,516
  6. Step 6: Final answer
    x = 444,234.28

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.