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Finding the Third Proportional to 170,646.75 and 371,391.75

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Solution

The third proportional to 170,646.75 and 371,391.75 is: 808,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,646.75 : 371,391.75 = 371,391.75 : x
  2. Step 2: Convert to fraction form
    170,646.75/371,391.75 = 371,391.75/x
  3. Step 3: Cross multiply
    170,646.75x = 371,391.75 × 371,391.75
  4. Step 4: Simplify right side
    170,646.75x = 137,931,831,968.06
  5. Step 5: Solve for x
    x = 137,931,831,968.06/170,646.75
  6. Step 6: Final answer
    x = 808,288.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.