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Finding the Third Proportional to 147,345.50 and 225,246.50

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Solution

The third proportional to 147,345.50 and 225,246.50 is: 344,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,345.50 : 225,246.50 = 225,246.50 : x
  2. Step 2: Convert to fraction form
    147,345.50/225,246.50 = 225,246.50/x
  3. Step 3: Cross multiply
    147,345.50x = 225,246.50 × 225,246.50
  4. Step 4: Simplify right side
    147,345.50x = 50,735,985,762.25
  5. Step 5: Solve for x
    x = 50,735,985,762.25/147,345.50
  6. Step 6: Final answer
    x = 344,333.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.