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Finding the Third Proportional to 135,965 and 296,122.50

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Solution

The third proportional to 135,965 and 296,122.50 is: 644,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,965 : 296,122.50 = 296,122.50 : x
  2. Step 2: Convert to fraction form
    135,965/296,122.50 = 296,122.50/x
  3. Step 3: Cross multiply
    135,965x = 296,122.50 × 296,122.50
  4. Step 4: Simplify right side
    135,965x = 87,688,535,006.25
  5. Step 5: Solve for x
    x = 87,688,535,006.25/135,965
  6. Step 6: Final answer
    x = 644,934.62

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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.