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Finding the Third Proportional to 134,835.75 and 299,598.75

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Solution

The third proportional to 134,835.75 and 299,598.75 is: 665,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,835.75 : 299,598.75 = 299,598.75 : x
  2. Step 2: Convert to fraction form
    134,835.75/299,598.75 = 299,598.75/x
  3. Step 3: Cross multiply
    134,835.75x = 299,598.75 × 299,598.75
  4. Step 4: Simplify right side
    134,835.75x = 89,759,411,001.56
  5. Step 5: Solve for x
    x = 89,759,411,001.56/134,835.75
  6. Step 6: Final answer
    x = 665,694.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.