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Finding the Third Proportional to 116,462 and 249,544

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Solution

The third proportional to 116,462 and 249,544 is: 534,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,462 : 249,544 = 249,544 : x
  2. Step 2: Convert to fraction form
    116,462/249,544 = 249,544/x
  3. Step 3: Cross multiply
    116,462x = 249,544 × 249,544
  4. Step 4: Simplify right side
    116,462x = 62,272,207,936
  5. Step 5: Solve for x
    x = 62,272,207,936/116,462
  6. Step 6: Final answer
    x = 534,699.80

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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.