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Finding the Third Proportional to 160,350 and 348,024

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Solution

The third proportional to 160,350 and 348,024 is: 755,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,350 : 348,024 = 348,024 : x
  2. Step 2: Convert to fraction form
    160,350/348,024 = 348,024/x
  3. Step 3: Cross multiply
    160,350x = 348,024 × 348,024
  4. Step 4: Simplify right side
    160,350x = 121,120,704,576
  5. Step 5: Solve for x
    x = 121,120,704,576/160,350
  6. Step 6: Final answer
    x = 755,352.07

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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.