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Finding the Third Proportional to 147,779.44 and 229,293.28

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Solution

The third proportional to 147,779.44 and 229,293.28 is: 355,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,779.44 : 229,293.28 = 229,293.28 : x
  2. Step 2: Convert to fraction form
    147,779.44/229,293.28 = 229,293.28/x
  3. Step 3: Cross multiply
    147,779.44x = 229,293.28 × 229,293.28
  4. Step 4: Simplify right side
    147,779.44x = 52,575,408,826.39
  5. Step 5: Solve for x
    x = 52,575,408,826.39/147,779.44
  6. Step 6: Final answer
    x = 355,769.45

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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.