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Finding the Third Proportional to 200,073 and 308,428.50

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Solution

The third proportional to 200,073 and 308,428.50 is: 475,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,073 : 308,428.50 = 308,428.50 : x
  2. Step 2: Convert to fraction form
    200,073/308,428.50 = 308,428.50/x
  3. Step 3: Cross multiply
    200,073x = 308,428.50 × 308,428.50
  4. Step 4: Simplify right side
    200,073x = 95,128,139,612.25
  5. Step 5: Solve for x
    x = 95,128,139,612.25/200,073
  6. Step 6: Final answer
    x = 475,467.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.