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Finding the Third Proportional to 102,394 and 160,280

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Solution

The third proportional to 102,394 and 160,280 is: 250,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,394 : 160,280 = 160,280 : x
  2. Step 2: Convert to fraction form
    102,394/160,280 = 160,280/x
  3. Step 3: Cross multiply
    102,394x = 160,280 × 160,280
  4. Step 4: Simplify right side
    102,394x = 25,689,678,400
  5. Step 5: Solve for x
    x = 25,689,678,400/102,394
  6. Step 6: Final answer
    x = 250,890.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.