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Finding the Third Proportional to 147,892.50 and 323,771.63

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Solution

The third proportional to 147,892.50 and 323,771.63 is: 708,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,892.50 : 323,771.63 = 323,771.63 : x
  2. Step 2: Convert to fraction form
    147,892.50/323,771.63 = 323,771.63/x
  3. Step 3: Cross multiply
    147,892.50x = 323,771.63 × 323,771.63
  4. Step 4: Simplify right side
    147,892.50x = 104,828,065,155.14
  5. Step 5: Solve for x
    x = 104,828,065,155.14/147,892.50
  6. Step 6: Final answer
    x = 708,812.58

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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.