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Finding the Third Proportional to 195,834 and 429,495

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Solution

The third proportional to 195,834 and 429,495 is: 941,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,834 : 429,495 = 429,495 : x
  2. Step 2: Convert to fraction form
    195,834/429,495 = 429,495/x
  3. Step 3: Cross multiply
    195,834x = 429,495 × 429,495
  4. Step 4: Simplify right side
    195,834x = 184,465,955,025
  5. Step 5: Solve for x
    x = 184,465,955,025/195,834
  6. Step 6: Final answer
    x = 941,950.61

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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.