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Finding the Third Proportional to 164,106 and 353,160

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Solution

The third proportional to 164,106 and 353,160 is: 760,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,106 : 353,160 = 353,160 : x
  2. Step 2: Convert to fraction form
    164,106/353,160 = 353,160/x
  3. Step 3: Cross multiply
    164,106x = 353,160 × 353,160
  4. Step 4: Simplify right side
    164,106x = 124,721,985,600
  5. Step 5: Solve for x
    x = 124,721,985,600/164,106
  6. Step 6: Final answer
    x = 760,008.69

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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.