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Finding the Third Proportional to 147,629.25 and 229,030.88

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Solution

The third proportional to 147,629.25 and 229,030.88 is: 355,316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,629.25 : 229,030.88 = 229,030.88 : x
  2. Step 2: Convert to fraction form
    147,629.25/229,030.88 = 229,030.88/x
  3. Step 3: Cross multiply
    147,629.25x = 229,030.88 × 229,030.88
  4. Step 4: Simplify right side
    147,629.25x = 52,455,141,703.27
  5. Step 5: Solve for x
    x = 52,455,141,703.27/147,629.25
  6. Step 6: Final answer
    x = 355,316.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.