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Finding the Third Proportional to 152,335.69 and 305,263.69

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Solution

The third proportional to 152,335.69 and 305,263.69 is: 611,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,335.69 : 305,263.69 = 305,263.69 : x
  2. Step 2: Convert to fraction form
    152,335.69/305,263.69 = 305,263.69/x
  3. Step 3: Cross multiply
    152,335.69x = 305,263.69 × 305,263.69
  4. Step 4: Simplify right side
    152,335.69x = 93,185,918,906.10
  5. Step 5: Solve for x
    x = 93,185,918,906.10/152,335.69
  6. Step 6: Final answer
    x = 611,714.30

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.