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Finding the Third Proportional to 160,154 and 370,715

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Solution

The third proportional to 160,154 and 370,715 is: 858,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,154 : 370,715 = 370,715 : x
  2. Step 2: Convert to fraction form
    160,154/370,715 = 370,715/x
  3. Step 3: Cross multiply
    160,154x = 370,715 × 370,715
  4. Step 4: Simplify right side
    160,154x = 137,429,611,225
  5. Step 5: Solve for x
    x = 137,429,611,225/160,154
  6. Step 6: Final answer
    x = 858,109.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.