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Finding the Third Proportional to 114,488 and 249,339

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Solution

The third proportional to 114,488 and 249,339 is: 543,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,488 : 249,339 = 249,339 : x
  2. Step 2: Convert to fraction form
    114,488/249,339 = 249,339/x
  3. Step 3: Cross multiply
    114,488x = 249,339 × 249,339
  4. Step 4: Simplify right side
    114,488x = 62,169,936,921
  5. Step 5: Solve for x
    x = 62,169,936,921/114,488
  6. Step 6: Final answer
    x = 543,025.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.