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Finding the Third Proportional to 160,462 and 348,140

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Solution

The third proportional to 160,462 and 348,140 is: 755,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,462 : 348,140 = 348,140 : x
  2. Step 2: Convert to fraction form
    160,462/348,140 = 348,140/x
  3. Step 3: Cross multiply
    160,462x = 348,140 × 348,140
  4. Step 4: Simplify right side
    160,462x = 121,201,459,600
  5. Step 5: Solve for x
    x = 121,201,459,600/160,462
  6. Step 6: Final answer
    x = 755,328.11

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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.