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Finding the Third Proportional to 202,297 and 442,691.50

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Solution

The third proportional to 202,297 and 442,691.50 is: 968,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,297 : 442,691.50 = 442,691.50 : x
  2. Step 2: Convert to fraction form
    202,297/442,691.50 = 442,691.50/x
  3. Step 3: Cross multiply
    202,297x = 442,691.50 × 442,691.50
  4. Step 4: Simplify right side
    202,297x = 195,975,764,172.25
  5. Step 5: Solve for x
    x = 195,975,764,172.25/202,297
  6. Step 6: Final answer
    x = 968,752.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.