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Finding the Third Proportional to 164,926.13 and 360,216.75

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Solution

The third proportional to 164,926.13 and 360,216.75 is: 786,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,926.13 : 360,216.75 = 360,216.75 : x
  2. Step 2: Convert to fraction form
    164,926.13/360,216.75 = 360,216.75/x
  3. Step 3: Cross multiply
    164,926.13x = 360,216.75 × 360,216.75
  4. Step 4: Simplify right side
    164,926.13x = 129,756,106,980.56
  5. Step 5: Solve for x
    x = 129,756,106,980.56/164,926.13
  6. Step 6: Final answer
    x = 786,752.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.