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Finding the Third Proportional to 236,624.25 and 513,172.50

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Solution

The third proportional to 236,624.25 and 513,172.50 is: 1,112,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,624.25 : 513,172.50 = 513,172.50 : x
  2. Step 2: Convert to fraction form
    236,624.25/513,172.50 = 513,172.50/x
  3. Step 3: Cross multiply
    236,624.25x = 513,172.50 × 513,172.50
  4. Step 4: Simplify right side
    236,624.25x = 263,346,014,756.25
  5. Step 5: Solve for x
    x = 263,346,014,756.25/236,624.25
  6. Step 6: Final answer
    x = 1,112,929.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.