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Finding the Third Proportional to 164,845.13 and 359,533.69

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Solution

The third proportional to 164,845.13 and 359,533.69 is: 784,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,845.13 : 359,533.69 = 359,533.69 : x
  2. Step 2: Convert to fraction form
    164,845.13/359,533.69 = 359,533.69/x
  3. Step 3: Cross multiply
    164,845.13x = 359,533.69 × 359,533.69
  4. Step 4: Simplify right side
    164,845.13x = 129,264,472,447.35
  5. Step 5: Solve for x
    x = 129,264,472,447.35/164,845.13
  6. Step 6: Final answer
    x = 784,157.08

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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.