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Finding the Third Proportional to 174,952.50 and 471,291

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Solution

The third proportional to 174,952.50 and 471,291 is: 1,269,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,952.50 : 471,291 = 471,291 : x
  2. Step 2: Convert to fraction form
    174,952.50/471,291 = 471,291/x
  3. Step 3: Cross multiply
    174,952.50x = 471,291 × 471,291
  4. Step 4: Simplify right side
    174,952.50x = 222,115,206,681
  5. Step 5: Solve for x
    x = 222,115,206,681/174,952.50
  6. Step 6: Final answer
    x = 1,269,574.35

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.