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Finding the Third Proportional to 164,494.75 and 341,913.75

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Solution

The third proportional to 164,494.75 and 341,913.75 is: 710,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,494.75 : 341,913.75 = 341,913.75 : x
  2. Step 2: Convert to fraction form
    164,494.75/341,913.75 = 341,913.75/x
  3. Step 3: Cross multiply
    164,494.75x = 341,913.75 × 341,913.75
  4. Step 4: Simplify right side
    164,494.75x = 116,905,012,439.06
  5. Step 5: Solve for x
    x = 116,905,012,439.06/164,494.75
  6. Step 6: Final answer
    x = 710,691.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.