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Finding the Third Proportional to 145,192.50 and 318,431.25

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Solution

The third proportional to 145,192.50 and 318,431.25 is: 698,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,192.50 : 318,431.25 = 318,431.25 : x
  2. Step 2: Convert to fraction form
    145,192.50/318,431.25 = 318,431.25/x
  3. Step 3: Cross multiply
    145,192.50x = 318,431.25 × 318,431.25
  4. Step 4: Simplify right side
    145,192.50x = 101,398,460,976.56
  5. Step 5: Solve for x
    x = 101,398,460,976.56/145,192.50
  6. Step 6: Final answer
    x = 698,372.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.