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Finding the Third Proportional to 164,184 and 353,480

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Solution

The third proportional to 164,184 and 353,480 is: 761,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,184 : 353,480 = 353,480 : x
  2. Step 2: Convert to fraction form
    164,184/353,480 = 353,480/x
  3. Step 3: Cross multiply
    164,184x = 353,480 × 353,480
  4. Step 4: Simplify right side
    164,184x = 124,948,110,400
  5. Step 5: Solve for x
    x = 124,948,110,400/164,184
  6. Step 6: Final answer
    x = 761,024.89

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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.