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Finding the Third Proportional to 156,249 and 323,574.75

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Solution

The third proportional to 156,249 and 323,574.75 is: 670,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,249 : 323,574.75 = 323,574.75 : x
  2. Step 2: Convert to fraction form
    156,249/323,574.75 = 323,574.75/x
  3. Step 3: Cross multiply
    156,249x = 323,574.75 × 323,574.75
  4. Step 4: Simplify right side
    156,249x = 104,700,618,837.56
  5. Step 5: Solve for x
    x = 104,700,618,837.56/156,249
  6. Step 6: Final answer
    x = 670,088.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.