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Finding the Third Proportional to 164,160 and 353,430

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Solution

The third proportional to 164,160 and 353,430 is: 760,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,160 : 353,430 = 353,430 : x
  2. Step 2: Convert to fraction form
    164,160/353,430 = 353,430/x
  3. Step 3: Cross multiply
    164,160x = 353,430 × 353,430
  4. Step 4: Simplify right side
    164,160x = 124,912,764,900
  5. Step 5: Solve for x
    x = 124,912,764,900/164,160
  6. Step 6: Final answer
    x = 760,920.84

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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.