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Finding the Third Proportional to 161,010 and 374,280

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Solution

The third proportional to 161,010 and 374,280 is: 870,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,010 : 374,280 = 374,280 : x
  2. Step 2: Convert to fraction form
    161,010/374,280 = 374,280/x
  3. Step 3: Cross multiply
    161,010x = 374,280 × 374,280
  4. Step 4: Simplify right side
    161,010x = 140,085,518,400
  5. Step 5: Solve for x
    x = 140,085,518,400/161,010
  6. Step 6: Final answer
    x = 870,042.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.