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Finding the Third Proportional to 296,096 and 442,169

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Solution

The third proportional to 296,096 and 442,169 is: 660,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,096 : 442,169 = 442,169 : x
  2. Step 2: Convert to fraction form
    296,096/442,169 = 442,169/x
  3. Step 3: Cross multiply
    296,096x = 442,169 × 442,169
  4. Step 4: Simplify right side
    296,096x = 195,513,424,561
  5. Step 5: Solve for x
    x = 195,513,424,561/296,096
  6. Step 6: Final answer
    x = 660,304.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.