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Finding the Third Proportional to 170,419 and 369,044.50

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Solution

The third proportional to 170,419 and 369,044.50 is: 799,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,419 : 369,044.50 = 369,044.50 : x
  2. Step 2: Convert to fraction form
    170,419/369,044.50 = 369,044.50/x
  3. Step 3: Cross multiply
    170,419x = 369,044.50 × 369,044.50
  4. Step 4: Simplify right side
    170,419x = 136,193,842,980.25
  5. Step 5: Solve for x
    x = 136,193,842,980.25/170,419
  6. Step 6: Final answer
    x = 799,170.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.