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Finding the Third Proportional to 112,869.50 and 266,428.50

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Solution

The third proportional to 112,869.50 and 266,428.50 is: 628,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,869.50 : 266,428.50 = 266,428.50 : x
  2. Step 2: Convert to fraction form
    112,869.50/266,428.50 = 266,428.50/x
  3. Step 3: Cross multiply
    112,869.50x = 266,428.50 × 266,428.50
  4. Step 4: Simplify right side
    112,869.50x = 70,984,145,612.25
  5. Step 5: Solve for x
    x = 70,984,145,612.25/112,869.50
  6. Step 6: Final answer
    x = 628,904.58

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.