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Finding the Third Proportional to 144,132.75 and 229,027.50

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Solution

The third proportional to 144,132.75 and 229,027.50 is: 363,925.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,132.75 : 229,027.50 = 229,027.50 : x
  2. Step 2: Convert to fraction form
    144,132.75/229,027.50 = 229,027.50/x
  3. Step 3: Cross multiply
    144,132.75x = 229,027.50 × 229,027.50
  4. Step 4: Simplify right side
    144,132.75x = 52,453,595,756.25
  5. Step 5: Solve for x
    x = 52,453,595,756.25/144,132.75
  6. Step 6: Final answer
    x = 363,925.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.