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Finding the Third Proportional to 114,823.69 and 249,364.69

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Solution

The third proportional to 114,823.69 and 249,364.69 is: 541,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,823.69 : 249,364.69 = 249,364.69 : x
  2. Step 2: Convert to fraction form
    114,823.69/249,364.69 = 249,364.69/x
  3. Step 3: Cross multiply
    114,823.69x = 249,364.69 × 249,364.69
  4. Step 4: Simplify right side
    114,823.69x = 62,182,747,371.97
  5. Step 5: Solve for x
    x = 62,182,747,371.97/114,823.69
  6. Step 6: Final answer
    x = 541,549.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.