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Finding the Third Proportional to 164,263 and 353,070

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Solution

The third proportional to 164,263 and 353,070 is: 758,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,263 : 353,070 = 353,070 : x
  2. Step 2: Convert to fraction form
    164,263/353,070 = 353,070/x
  3. Step 3: Cross multiply
    164,263x = 353,070 × 353,070
  4. Step 4: Simplify right side
    164,263x = 124,658,424,900
  5. Step 5: Solve for x
    x = 124,658,424,900/164,263
  6. Step 6: Final answer
    x = 758,895.34

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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.