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Finding the Third Proportional to 160,372 and 348,080

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Solution

The third proportional to 160,372 and 348,080 is: 755,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,372 : 348,080 = 348,080 : x
  2. Step 2: Convert to fraction form
    160,372/348,080 = 348,080/x
  3. Step 3: Cross multiply
    160,372x = 348,080 × 348,080
  4. Step 4: Simplify right side
    160,372x = 121,159,686,400
  5. Step 5: Solve for x
    x = 121,159,686,400/160,372
  6. Step 6: Final answer
    x = 755,491.52

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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.