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Finding the Third Proportional to 221,428.50 and 312,030

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Solution

The third proportional to 221,428.50 and 312,030 is: 439,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,428.50 : 312,030 = 312,030 : x
  2. Step 2: Convert to fraction form
    221,428.50/312,030 = 312,030/x
  3. Step 3: Cross multiply
    221,428.50x = 312,030 × 312,030
  4. Step 4: Simplify right side
    221,428.50x = 97,362,720,900
  5. Step 5: Solve for x
    x = 97,362,720,900/221,428.50
  6. Step 6: Final answer
    x = 439,702.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.