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Finding the Third Proportional to 146,464 and 219,695

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Solution

The third proportional to 146,464 and 219,695 is: 329,541.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,464 : 219,695 = 219,695 : x
  2. Step 2: Convert to fraction form
    146,464/219,695 = 219,695/x
  3. Step 3: Cross multiply
    146,464x = 219,695 × 219,695
  4. Step 4: Simplify right side
    146,464x = 48,265,893,025
  5. Step 5: Solve for x
    x = 48,265,893,025/146,464
  6. Step 6: Final answer
    x = 329,541.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.