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Finding the Third Proportional to 164,180.50 and 249,581.25

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Solution

The third proportional to 164,180.50 and 249,581.25 is: 379,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,180.50 : 249,581.25 = 249,581.25 : x
  2. Step 2: Convert to fraction form
    164,180.50/249,581.25 = 249,581.25/x
  3. Step 3: Cross multiply
    164,180.50x = 249,581.25 × 249,581.25
  4. Step 4: Simplify right side
    164,180.50x = 62,290,800,351.56
  5. Step 5: Solve for x
    x = 62,290,800,351.56/164,180.50
  6. Step 6: Final answer
    x = 379,404.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.