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Finding the Third Proportional to 177,503 and 387,531.75

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Solution

The third proportional to 177,503 and 387,531.75 is: 846,075.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,503 : 387,531.75 = 387,531.75 : x
  2. Step 2: Convert to fraction form
    177,503/387,531.75 = 387,531.75/x
  3. Step 3: Cross multiply
    177,503x = 387,531.75 × 387,531.75
  4. Step 4: Simplify right side
    177,503x = 150,180,857,258.06
  5. Step 5: Solve for x
    x = 150,180,857,258.06/177,503
  6. Step 6: Final answer
    x = 846,075.04

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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.