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Finding the Third Proportional to 144,967.50 and 216,775.50

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Solution

The third proportional to 144,967.50 and 216,775.50 is: 324,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,967.50 : 216,775.50 = 216,775.50 : x
  2. Step 2: Convert to fraction form
    144,967.50/216,775.50 = 216,775.50/x
  3. Step 3: Cross multiply
    144,967.50x = 216,775.50 × 216,775.50
  4. Step 4: Simplify right side
    144,967.50x = 46,991,617,400.25
  5. Step 5: Solve for x
    x = 46,991,617,400.25/144,967.50
  6. Step 6: Final answer
    x = 324,152.77

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