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Finding the Third Proportional to 160,424 and 348,169

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Solution

The third proportional to 160,424 and 348,169 is: 755,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,424 : 348,169 = 348,169 : x
  2. Step 2: Convert to fraction form
    160,424/348,169 = 348,169/x
  3. Step 3: Cross multiply
    160,424x = 348,169 × 348,169
  4. Step 4: Simplify right side
    160,424x = 121,221,652,561
  5. Step 5: Solve for x
    x = 121,221,652,561/160,424
  6. Step 6: Final answer
    x = 755,632.90

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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.