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Finding the Third Proportional to 180,207 and 377,424

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Solution

The third proportional to 180,207 and 377,424 is: 790,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,207 : 377,424 = 377,424 : x
  2. Step 2: Convert to fraction form
    180,207/377,424 = 377,424/x
  3. Step 3: Cross multiply
    180,207x = 377,424 × 377,424
  4. Step 4: Simplify right side
    180,207x = 142,448,875,776
  5. Step 5: Solve for x
    x = 142,448,875,776/180,207
  6. Step 6: Final answer
    x = 790,473.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.