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Finding the Third Proportional to 147,030.19 and 219,960.56

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Solution

The third proportional to 147,030.19 and 219,960.56 is: 329,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,030.19 : 219,960.56 = 219,960.56 : x
  2. Step 2: Convert to fraction form
    147,030.19/219,960.56 = 219,960.56/x
  3. Step 3: Cross multiply
    147,030.19x = 219,960.56 × 219,960.56
  4. Step 4: Simplify right side
    147,030.19x = 48,382,649,055.32
  5. Step 5: Solve for x
    x = 48,382,649,055.32/147,030.19
  6. Step 6: Final answer
    x = 329,066.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.