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Finding the Third Proportional to 174,553 and 380,209

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Solution

The third proportional to 174,553 and 380,209 is: 828,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,553 : 380,209 = 380,209 : x
  2. Step 2: Convert to fraction form
    174,553/380,209 = 380,209/x
  3. Step 3: Cross multiply
    174,553x = 380,209 × 380,209
  4. Step 4: Simplify right side
    174,553x = 144,558,883,681
  5. Step 5: Solve for x
    x = 144,558,883,681/174,553
  6. Step 6: Final answer
    x = 828,166.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.