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Finding the Third Proportional to 249,242.25 and 543,597

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Solution

The third proportional to 249,242.25 and 543,597 is: 1,185,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,242.25 : 543,597 = 543,597 : x
  2. Step 2: Convert to fraction form
    249,242.25/543,597 = 543,597/x
  3. Step 3: Cross multiply
    249,242.25x = 543,597 × 543,597
  4. Step 4: Simplify right side
    249,242.25x = 295,497,698,409
  5. Step 5: Solve for x
    x = 295,497,698,409/249,242.25
  6. Step 6: Final answer
    x = 1,185,584.30

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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.