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Finding the Third Proportional to 116,448 and 249,512

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Solution

The third proportional to 116,448 and 249,512 is: 534,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,448 : 249,512 = 249,512 : x
  2. Step 2: Convert to fraction form
    116,448/249,512 = 249,512/x
  3. Step 3: Cross multiply
    116,448x = 249,512 × 249,512
  4. Step 4: Simplify right side
    116,448x = 62,256,238,144
  5. Step 5: Solve for x
    x = 62,256,238,144/116,448
  6. Step 6: Final answer
    x = 534,626.94

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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.