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Finding the Third Proportional to 150,897.94 and 325,506.38

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Solution

The third proportional to 150,897.94 and 325,506.38 is: 702,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,897.94 : 325,506.38 = 325,506.38 : x
  2. Step 2: Convert to fraction form
    150,897.94/325,506.38 = 325,506.38/x
  3. Step 3: Cross multiply
    150,897.94x = 325,506.38 × 325,506.38
  4. Step 4: Simplify right side
    150,897.94x = 105,954,400,165.64
  5. Step 5: Solve for x
    x = 105,954,400,165.64/150,897.94
  6. Step 6: Final answer
    x = 702,159.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.