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Finding the Third Proportional to 156,480 and 341,634

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Solution

The third proportional to 156,480 and 341,634 is: 745,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,480 : 341,634 = 341,634 : x
  2. Step 2: Convert to fraction form
    156,480/341,634 = 341,634/x
  3. Step 3: Cross multiply
    156,480x = 341,634 × 341,634
  4. Step 4: Simplify right side
    156,480x = 116,713,789,956
  5. Step 5: Solve for x
    x = 116,713,789,956/156,480
  6. Step 6: Final answer
    x = 745,870.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.