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Finding the Third Proportional to 195,925.50 and 302,727.38

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Solution

The third proportional to 195,925.50 and 302,727.38 is: 467,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,925.50 : 302,727.38 = 302,727.38 : x
  2. Step 2: Convert to fraction form
    195,925.50/302,727.38 = 302,727.38/x
  3. Step 3: Cross multiply
    195,925.50x = 302,727.38 × 302,727.38
  4. Step 4: Simplify right side
    195,925.50x = 91,643,863,574.39
  5. Step 5: Solve for x
    x = 91,643,863,574.39/195,925.50
  6. Step 6: Final answer
    x = 467,748.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.