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Finding the Third Proportional to 175,807.13 and 364,074.75

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Solution

The third proportional to 175,807.13 and 364,074.75 is: 753,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,807.13 : 364,074.75 = 364,074.75 : x
  2. Step 2: Convert to fraction form
    175,807.13/364,074.75 = 364,074.75/x
  3. Step 3: Cross multiply
    175,807.13x = 364,074.75 × 364,074.75
  4. Step 4: Simplify right side
    175,807.13x = 132,550,423,587.56
  5. Step 5: Solve for x
    x = 132,550,423,587.56/175,807.13
  6. Step 6: Final answer
    x = 753,953.65

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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.