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Finding the Third Proportional to 174,966.75 and 367,552.69

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Solution

The third proportional to 174,966.75 and 367,552.69 is: 772,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,966.75 : 367,552.69 = 367,552.69 : x
  2. Step 2: Convert to fraction form
    174,966.75/367,552.69 = 367,552.69/x
  3. Step 3: Cross multiply
    174,966.75x = 367,552.69 × 367,552.69
  4. Step 4: Simplify right side
    174,966.75x = 135,094,978,088.47
  5. Step 5: Solve for x
    x = 135,094,978,088.47/174,966.75
  6. Step 6: Final answer
    x = 772,118.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.