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Finding the Third Proportional to 146,407.50 and 305,523

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Solution

The third proportional to 146,407.50 and 305,523 is: 637,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,407.50 : 305,523 = 305,523 : x
  2. Step 2: Convert to fraction form
    146,407.50/305,523 = 305,523/x
  3. Step 3: Cross multiply
    146,407.50x = 305,523 × 305,523
  4. Step 4: Simplify right side
    146,407.50x = 93,344,303,529
  5. Step 5: Solve for x
    x = 93,344,303,529/146,407.50
  6. Step 6: Final answer
    x = 637,565.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.