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Finding the Third Proportional to 170,894 and 373,952

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Solution

The third proportional to 170,894 and 373,952 is: 818,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,894 : 373,952 = 373,952 : x
  2. Step 2: Convert to fraction form
    170,894/373,952 = 373,952/x
  3. Step 3: Cross multiply
    170,894x = 373,952 × 373,952
  4. Step 4: Simplify right side
    170,894x = 139,840,098,304
  5. Step 5: Solve for x
    x = 139,840,098,304/170,894
  6. Step 6: Final answer
    x = 818,285.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.