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Finding the Third Proportional to 152,307 and 330,037.50

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Solution

The third proportional to 152,307 and 330,037.50 is: 715,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307 : 330,037.50 = 330,037.50 : x
  2. Step 2: Convert to fraction form
    152,307/330,037.50 = 330,037.50/x
  3. Step 3: Cross multiply
    152,307x = 330,037.50 × 330,037.50
  4. Step 4: Simplify right side
    152,307x = 108,924,751,406.25
  5. Step 5: Solve for x
    x = 108,924,751,406.25/152,307
  6. Step 6: Final answer
    x = 715,165.76

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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.