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Finding the Third Proportional to 144,767.50 and 322,745

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Solution

The third proportional to 144,767.50 and 322,745 is: 719,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,767.50 : 322,745 = 322,745 : x
  2. Step 2: Convert to fraction form
    144,767.50/322,745 = 322,745/x
  3. Step 3: Cross multiply
    144,767.50x = 322,745 × 322,745
  4. Step 4: Simplify right side
    144,767.50x = 104,164,335,025
  5. Step 5: Solve for x
    x = 104,164,335,025/144,767.50
  6. Step 6: Final answer
    x = 719,528.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.