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Finding the Third Proportional to 200,454 and 308,239.50

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Solution

The third proportional to 200,454 and 308,239.50 is: 473,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,454 : 308,239.50 = 308,239.50 : x
  2. Step 2: Convert to fraction form
    200,454/308,239.50 = 308,239.50/x
  3. Step 3: Cross multiply
    200,454x = 308,239.50 × 308,239.50
  4. Step 4: Simplify right side
    200,454x = 95,011,589,360.25
  5. Step 5: Solve for x
    x = 95,011,589,360.25/200,454
  6. Step 6: Final answer
    x = 473,982.01

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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.