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Finding the Third Proportional to 174,952.50 and 367,531

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Solution

The third proportional to 174,952.50 and 367,531 is: 772,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,952.50 : 367,531 = 367,531 : x
  2. Step 2: Convert to fraction form
    174,952.50/367,531 = 367,531/x
  3. Step 3: Cross multiply
    174,952.50x = 367,531 × 367,531
  4. Step 4: Simplify right side
    174,952.50x = 135,079,035,961
  5. Step 5: Solve for x
    x = 135,079,035,961/174,952.50
  6. Step 6: Final answer
    x = 772,089.77

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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.