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Finding the Third Proportional to 175,429.50 and 384,420.75

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Solution

The third proportional to 175,429.50 and 384,420.75 is: 842,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,429.50 : 384,420.75 = 384,420.75 : x
  2. Step 2: Convert to fraction form
    175,429.50/384,420.75 = 384,420.75/x
  3. Step 3: Cross multiply
    175,429.50x = 384,420.75 × 384,420.75
  4. Step 4: Simplify right side
    175,429.50x = 147,779,313,030.56
  5. Step 5: Solve for x
    x = 147,779,313,030.56/175,429.50
  6. Step 6: Final answer
    x = 842,385.76

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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.