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Finding the Third Proportional to 134,972.75 and 295,293

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Solution

The third proportional to 134,972.75 and 295,293 is: 646,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,972.75 : 295,293 = 295,293 : x
  2. Step 2: Convert to fraction form
    134,972.75/295,293 = 295,293/x
  3. Step 3: Cross multiply
    134,972.75x = 295,293 × 295,293
  4. Step 4: Simplify right side
    134,972.75x = 87,197,955,849
  5. Step 5: Solve for x
    x = 87,197,955,849/134,972.75
  6. Step 6: Final answer
    x = 646,041.19

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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.