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Finding the Third Proportional to 210,351 and 283,432.50

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Solution

The third proportional to 210,351 and 283,432.50 is: 381,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,351 : 283,432.50 = 283,432.50 : x
  2. Step 2: Convert to fraction form
    210,351/283,432.50 = 283,432.50/x
  3. Step 3: Cross multiply
    210,351x = 283,432.50 × 283,432.50
  4. Step 4: Simplify right side
    210,351x = 80,333,982,056.25
  5. Step 5: Solve for x
    x = 80,333,982,056.25/210,351
  6. Step 6: Final answer
    x = 381,904.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.