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Finding the Third Proportional to 200,925.14 and 306,098.30

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Solution

The third proportional to 200,925.14 and 306,098.30 is: 466,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,925.14 : 306,098.30 = 306,098.30 : x
  2. Step 2: Convert to fraction form
    200,925.14/306,098.30 = 306,098.30/x
  3. Step 3: Cross multiply
    200,925.14x = 306,098.30 × 306,098.30
  4. Step 4: Simplify right side
    200,925.14x = 93,696,167,349.78
  5. Step 5: Solve for x
    x = 93,696,167,349.78/200,925.14
  6. Step 6: Final answer
    x = 466,323.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.