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Finding the Third Proportional to 134,746.75 and 293,399

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Solution

The third proportional to 134,746.75 and 293,399 is: 638,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,746.75 : 293,399 = 293,399 : x
  2. Step 2: Convert to fraction form
    134,746.75/293,399 = 293,399/x
  3. Step 3: Cross multiply
    134,746.75x = 293,399 × 293,399
  4. Step 4: Simplify right side
    134,746.75x = 86,082,973,201
  5. Step 5: Solve for x
    x = 86,082,973,201/134,746.75
  6. Step 6: Final answer
    x = 638,850.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.