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Finding the Third Proportional to 160,070 and 347,272

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Solution

The third proportional to 160,070 and 347,272 is: 753,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,070 : 347,272 = 347,272 : x
  2. Step 2: Convert to fraction form
    160,070/347,272 = 347,272/x
  3. Step 3: Cross multiply
    160,070x = 347,272 × 347,272
  4. Step 4: Simplify right side
    160,070x = 120,597,841,984
  5. Step 5: Solve for x
    x = 120,597,841,984/160,070
  6. Step 6: Final answer
    x = 753,406.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.