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Finding the Third Proportional to 244,388.81 and 341,416.69

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Solution

The third proportional to 244,388.81 and 341,416.69 is: 476,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,388.81 : 341,416.69 = 341,416.69 : x
  2. Step 2: Convert to fraction form
    244,388.81/341,416.69 = 341,416.69/x
  3. Step 3: Cross multiply
    244,388.81x = 341,416.69 × 341,416.69
  4. Step 4: Simplify right side
    244,388.81x = 116,565,354,503.47
  5. Step 5: Solve for x
    x = 116,565,354,503.47/244,388.81
  6. Step 6: Final answer
    x = 476,966.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.