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Finding the Third Proportional to 249,176.25 and 548,174.25

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Solution

The third proportional to 249,176.25 and 548,174.25 is: 1,205,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,176.25 : 548,174.25 = 548,174.25 : x
  2. Step 2: Convert to fraction form
    249,176.25/548,174.25 = 548,174.25/x
  3. Step 3: Cross multiply
    249,176.25x = 548,174.25 × 548,174.25
  4. Step 4: Simplify right side
    249,176.25x = 300,495,008,363.06
  5. Step 5: Solve for x
    x = 300,495,008,363.06/249,176.25
  6. Step 6: Final answer
    x = 1,205,953.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.