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Finding the Third Proportional to 152,650 and 325,583

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Solution

The third proportional to 152,650 and 325,583 is: 694,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,650 : 325,583 = 325,583 : x
  2. Step 2: Convert to fraction form
    152,650/325,583 = 325,583/x
  3. Step 3: Cross multiply
    152,650x = 325,583 × 325,583
  4. Step 4: Simplify right side
    152,650x = 106,004,289,889
  5. Step 5: Solve for x
    x = 106,004,289,889/152,650
  6. Step 6: Final answer
    x = 694,427.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.