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Finding the Third Proportional to 160,468 and 348,152

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Solution

The third proportional to 160,468 and 348,152 is: 755,351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,468 : 348,152 = 348,152 : x
  2. Step 2: Convert to fraction form
    160,468/348,152 = 348,152/x
  3. Step 3: Cross multiply
    160,468x = 348,152 × 348,152
  4. Step 4: Simplify right side
    160,468x = 121,209,815,104
  5. Step 5: Solve for x
    x = 121,209,815,104/160,468
  6. Step 6: Final answer
    x = 755,351.94

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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.