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Finding the Third Proportional to 145,732.50 and 218,733.75

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Solution

The third proportional to 145,732.50 and 218,733.75 is: 328,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,732.50 : 218,733.75 = 218,733.75 : x
  2. Step 2: Convert to fraction form
    145,732.50/218,733.75 = 218,733.75/x
  3. Step 3: Cross multiply
    145,732.50x = 218,733.75 × 218,733.75
  4. Step 4: Simplify right side
    145,732.50x = 47,844,453,389.06
  5. Step 5: Solve for x
    x = 47,844,453,389.06/145,732.50
  6. Step 6: Final answer
    x = 328,303.25

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Why These Related Problems?

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