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Finding the Third Proportional to 175,420.13 and 362,874.38

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Solution

The third proportional to 175,420.13 and 362,874.38 is: 750,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,420.13 : 362,874.38 = 362,874.38 : x
  2. Step 2: Convert to fraction form
    175,420.13/362,874.38 = 362,874.38/x
  3. Step 3: Cross multiply
    175,420.13x = 362,874.38 × 362,874.38
  4. Step 4: Simplify right side
    175,420.13x = 131,677,812,031.64
  5. Step 5: Solve for x
    x = 131,677,812,031.64/175,420.13
  6. Step 6: Final answer
    x = 750,642.56

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.