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Finding the Third Proportional to 116,451 and 249,504

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Solution

The third proportional to 116,451 and 249,504 is: 534,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,451 : 249,504 = 249,504 : x
  2. Step 2: Convert to fraction form
    116,451/249,504 = 249,504/x
  3. Step 3: Cross multiply
    116,451x = 249,504 × 249,504
  4. Step 4: Simplify right side
    116,451x = 62,252,246,016
  5. Step 5: Solve for x
    x = 62,252,246,016/116,451
  6. Step 6: Final answer
    x = 534,578.89

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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.