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Finding the Third Proportional to 163,462.50 and 351,972.50

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Solution

The third proportional to 163,462.50 and 351,972.50 is: 757,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,462.50 : 351,972.50 = 351,972.50 : x
  2. Step 2: Convert to fraction form
    163,462.50/351,972.50 = 351,972.50/x
  3. Step 3: Cross multiply
    163,462.50x = 351,972.50 × 351,972.50
  4. Step 4: Simplify right side
    163,462.50x = 123,884,640,756.25
  5. Step 5: Solve for x
    x = 123,884,640,756.25/163,462.50
  6. Step 6: Final answer
    x = 757,878.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.