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Finding the Third Proportional to 174,411 and 369,575

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Solution

The third proportional to 174,411 and 369,575 is: 783,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,411 : 369,575 = 369,575 : x
  2. Step 2: Convert to fraction form
    174,411/369,575 = 369,575/x
  3. Step 3: Cross multiply
    174,411x = 369,575 × 369,575
  4. Step 4: Simplify right side
    174,411x = 136,585,680,625
  5. Step 5: Solve for x
    x = 136,585,680,625/174,411
  6. Step 6: Final answer
    x = 783,125.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.