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Finding the Third Proportional to 150,026.63 and 325,812.38

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Solution

The third proportional to 150,026.63 and 325,812.38 is: 707,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,026.63 : 325,812.38 = 325,812.38 : x
  2. Step 2: Convert to fraction form
    150,026.63/325,812.38 = 325,812.38/x
  3. Step 3: Cross multiply
    150,026.63x = 325,812.38 × 325,812.38
  4. Step 4: Simplify right side
    150,026.63x = 106,153,703,703.14
  5. Step 5: Solve for x
    x = 106,153,703,703.14/150,026.63
  6. Step 6: Final answer
    x = 707,565.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.