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Finding the Third Proportional to 375,151.50 and 819,180

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Solution

The third proportional to 375,151.50 and 819,180 is: 1,788,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,151.50 : 819,180 = 819,180 : x
  2. Step 2: Convert to fraction form
    375,151.50/819,180 = 819,180/x
  3. Step 3: Cross multiply
    375,151.50x = 819,180 × 819,180
  4. Step 4: Simplify right side
    375,151.50x = 671,055,872,400
  5. Step 5: Solve for x
    x = 671,055,872,400/375,151.50
  6. Step 6: Final answer
    x = 1,788,759.67

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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.