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Finding the Third Proportional to 235,807.50 and 509,136

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Solution

The third proportional to 235,807.50 and 509,136 is: 1,099,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,807.50 : 509,136 = 509,136 : x
  2. Step 2: Convert to fraction form
    235,807.50/509,136 = 509,136/x
  3. Step 3: Cross multiply
    235,807.50x = 509,136 × 509,136
  4. Step 4: Simplify right side
    235,807.50x = 259,219,466,496
  5. Step 5: Solve for x
    x = 259,219,466,496/235,807.50
  6. Step 6: Final answer
    x = 1,099,284.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.