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Finding the Third Proportional to 173,966.63 and 370,713.38

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Solution

The third proportional to 173,966.63 and 370,713.38 is: 789,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,966.63 : 370,713.38 = 370,713.38 : x
  2. Step 2: Convert to fraction form
    173,966.63/370,713.38 = 370,713.38/x
  3. Step 3: Cross multiply
    173,966.63x = 370,713.38 × 370,713.38
  4. Step 4: Simplify right side
    173,966.63x = 137,428,406,403.89
  5. Step 5: Solve for x
    x = 137,428,406,403.89/173,966.63
  6. Step 6: Final answer
    x = 789,969.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.