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Finding the Third Proportional to 180,020 and 393,944

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Solution

The third proportional to 180,020 and 393,944 is: 862,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,020 : 393,944 = 393,944 : x
  2. Step 2: Convert to fraction form
    180,020/393,944 = 393,944/x
  3. Step 3: Cross multiply
    180,020x = 393,944 × 393,944
  4. Step 4: Simplify right side
    180,020x = 155,191,875,136
  5. Step 5: Solve for x
    x = 155,191,875,136/180,020
  6. Step 6: Final answer
    x = 862,081.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.