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Finding the Third Proportional to 160,421 and 348,555

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Solution

The third proportional to 160,421 and 348,555 is: 757,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,421 : 348,555 = 348,555 : x
  2. Step 2: Convert to fraction form
    160,421/348,555 = 348,555/x
  3. Step 3: Cross multiply
    160,421x = 348,555 × 348,555
  4. Step 4: Simplify right side
    160,421x = 121,490,588,025
  5. Step 5: Solve for x
    x = 121,490,588,025/160,421
  6. Step 6: Final answer
    x = 757,323.47

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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.