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Finding the Third Proportional to 164,370 and 353,712

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Solution

The third proportional to 164,370 and 353,712 is: 761,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,370 : 353,712 = 353,712 : x
  2. Step 2: Convert to fraction form
    164,370/353,712 = 353,712/x
  3. Step 3: Cross multiply
    164,370x = 353,712 × 353,712
  4. Step 4: Simplify right side
    164,370x = 125,112,178,944
  5. Step 5: Solve for x
    x = 125,112,178,944/164,370
  6. Step 6: Final answer
    x = 761,161.88

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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.