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Finding the Third Proportional to 164,148 and 353,412

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Solution

The third proportional to 164,148 and 353,412 is: 760,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,148 : 353,412 = 353,412 : x
  2. Step 2: Convert to fraction form
    164,148/353,412 = 353,412/x
  3. Step 3: Cross multiply
    164,148x = 353,412 × 353,412
  4. Step 4: Simplify right side
    164,148x = 124,900,041,744
  5. Step 5: Solve for x
    x = 124,900,041,744/164,148
  6. Step 6: Final answer
    x = 760,898.96

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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.