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Finding the Third Proportional to 152,205.19 and 330,346.69

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Solution

The third proportional to 152,205.19 and 330,346.69 is: 716,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,205.19 : 330,346.69 = 330,346.69 : x
  2. Step 2: Convert to fraction form
    152,205.19/330,346.69 = 330,346.69/x
  3. Step 3: Cross multiply
    152,205.19x = 330,346.69 × 330,346.69
  4. Step 4: Simplify right side
    152,205.19x = 109,128,933,942.22
  5. Step 5: Solve for x
    x = 109,128,933,942.22/152,205.19
  6. Step 6: Final answer
    x = 716,985.64

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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.