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Finding the Third Proportional to 164,186 and 353,484

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Solution

The third proportional to 164,186 and 353,484 is: 761,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,186 : 353,484 = 353,484 : x
  2. Step 2: Convert to fraction form
    164,186/353,484 = 353,484/x
  3. Step 3: Cross multiply
    164,186x = 353,484 × 353,484
  4. Step 4: Simplify right side
    164,186x = 124,950,938,256
  5. Step 5: Solve for x
    x = 124,950,938,256/164,186
  6. Step 6: Final answer
    x = 761,032.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.