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Finding the Third Proportional to 164,207 and 353,737

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Solution

The third proportional to 164,207 and 353,737 is: 762,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,207 : 353,737 = 353,737 : x
  2. Step 2: Convert to fraction form
    164,207/353,737 = 353,737/x
  3. Step 3: Cross multiply
    164,207x = 353,737 × 353,737
  4. Step 4: Simplify right side
    164,207x = 125,129,865,169
  5. Step 5: Solve for x
    x = 125,129,865,169/164,207
  6. Step 6: Final answer
    x = 762,025.16

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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.