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Finding the Third Proportional to 156,724 and 228,522

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Solution

The third proportional to 156,724 and 228,522 is: 333,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,724 : 228,522 = 228,522 : x
  2. Step 2: Convert to fraction form
    156,724/228,522 = 228,522/x
  3. Step 3: Cross multiply
    156,724x = 228,522 × 228,522
  4. Step 4: Simplify right side
    156,724x = 52,222,304,484
  5. Step 5: Solve for x
    x = 52,222,304,484/156,724
  6. Step 6: Final answer
    x = 333,211.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.