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Finding the Third Proportional to 174,421 and 375,464

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Solution

The third proportional to 174,421 and 375,464 is: 808,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,421 : 375,464 = 375,464 : x
  2. Step 2: Convert to fraction form
    174,421/375,464 = 375,464/x
  3. Step 3: Cross multiply
    174,421x = 375,464 × 375,464
  4. Step 4: Simplify right side
    174,421x = 140,973,215,296
  5. Step 5: Solve for x
    x = 140,973,215,296/174,421
  6. Step 6: Final answer
    x = 808,235.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.