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Finding the Third Proportional to 164,580.38 and 353,712.94

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Solution

The third proportional to 164,580.38 and 353,712.94 is: 760,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,580.38 : 353,712.94 = 353,712.94 : x
  2. Step 2: Convert to fraction form
    164,580.38/353,712.94 = 353,712.94/x
  3. Step 3: Cross multiply
    164,580.38x = 353,712.94 × 353,712.94
  4. Step 4: Simplify right side
    164,580.38x = 125,112,842,154.88
  5. Step 5: Solve for x
    x = 125,112,842,154.88/164,580.38
  6. Step 6: Final answer
    x = 760,192.96

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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.