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Finding the Third Proportional to 249,768 and 535,266

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Solution

The third proportional to 249,768 and 535,266 is: 1,147,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,768 : 535,266 = 535,266 : x
  2. Step 2: Convert to fraction form
    249,768/535,266 = 535,266/x
  3. Step 3: Cross multiply
    249,768x = 535,266 × 535,266
  4. Step 4: Simplify right side
    249,768x = 286,509,690,756
  5. Step 5: Solve for x
    x = 286,509,690,756/249,768
  6. Step 6: Final answer
    x = 1,147,103.27

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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.