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Finding the Third Proportional to 146,911.30 and 321,501.81

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Solution

The third proportional to 146,911.30 and 321,501.81 is: 703,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,911.30 : 321,501.81 = 321,501.81 : x
  2. Step 2: Convert to fraction form
    146,911.30/321,501.81 = 321,501.81/x
  3. Step 3: Cross multiply
    146,911.30x = 321,501.81 × 321,501.81
  4. Step 4: Simplify right side
    146,911.30x = 103,363,416,696.65
  5. Step 5: Solve for x
    x = 103,363,416,696.65/146,911.30
  6. Step 6: Final answer
    x = 703,577.04

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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.