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Finding the Third Proportional to 152,705.25 and 309,513.66

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Solution

The third proportional to 152,705.25 and 309,513.66 is: 627,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,705.25 : 309,513.66 = 309,513.66 : x
  2. Step 2: Convert to fraction form
    152,705.25/309,513.66 = 309,513.66/x
  3. Step 3: Cross multiply
    152,705.25x = 309,513.66 × 309,513.66
  4. Step 4: Simplify right side
    152,705.25x = 95,798,703,405.24
  5. Step 5: Solve for x
    x = 95,798,703,405.24/152,705.25
  6. Step 6: Final answer
    x = 627,343.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.