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Finding the Third Proportional to 158,812.50 and 245,721

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Solution

The third proportional to 158,812.50 and 245,721 is: 380,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,812.50 : 245,721 = 245,721 : x
  2. Step 2: Convert to fraction form
    158,812.50/245,721 = 245,721/x
  3. Step 3: Cross multiply
    158,812.50x = 245,721 × 245,721
  4. Step 4: Simplify right side
    158,812.50x = 60,378,809,841
  5. Step 5: Solve for x
    x = 60,378,809,841/158,812.50
  6. Step 6: Final answer
    x = 380,189.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.