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Finding the Third Proportional to 169,148 and 222,470

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Solution

The third proportional to 169,148 and 222,470 is: 292,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,148 : 222,470 = 222,470 : x
  2. Step 2: Convert to fraction form
    169,148/222,470 = 222,470/x
  3. Step 3: Cross multiply
    169,148x = 222,470 × 222,470
  4. Step 4: Simplify right side
    169,148x = 49,492,900,900
  5. Step 5: Solve for x
    x = 49,492,900,900/169,148
  6. Step 6: Final answer
    x = 292,601.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.