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Finding the Third Proportional to 116,446 and 249,494

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Solution

The third proportional to 116,446 and 249,494 is: 534,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,446 : 249,494 = 249,494 : x
  2. Step 2: Convert to fraction form
    116,446/249,494 = 249,494/x
  3. Step 3: Cross multiply
    116,446x = 249,494 × 249,494
  4. Step 4: Simplify right side
    116,446x = 62,247,256,036
  5. Step 5: Solve for x
    x = 62,247,256,036/116,446
  6. Step 6: Final answer
    x = 534,558.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.