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Finding the Third Proportional to 170,840 and 373,864

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Solution

The third proportional to 170,840 and 373,864 is: 818,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,840 : 373,864 = 373,864 : x
  2. Step 2: Convert to fraction form
    170,840/373,864 = 373,864/x
  3. Step 3: Cross multiply
    170,840x = 373,864 × 373,864
  4. Step 4: Simplify right side
    170,840x = 139,774,290,496
  5. Step 5: Solve for x
    x = 139,774,290,496/170,840
  6. Step 6: Final answer
    x = 818,159.04

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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.