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Finding the Third Proportional to 175,530.94 and 257,048.44

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Solution

The third proportional to 175,530.94 and 257,048.44 is: 376,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,530.94 : 257,048.44 = 257,048.44 : x
  2. Step 2: Convert to fraction form
    175,530.94/257,048.44 = 257,048.44/x
  3. Step 3: Cross multiply
    175,530.94x = 257,048.44 × 257,048.44
  4. Step 4: Simplify right side
    175,530.94x = 66,073,899,221.19
  5. Step 5: Solve for x
    x = 66,073,899,221.19/175,530.94
  6. Step 6: Final answer
    x = 376,423.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.