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Finding the Third Proportional to 161,965 and 348,534

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Solution

The third proportional to 161,965 and 348,534 is: 750,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,965 : 348,534 = 348,534 : x
  2. Step 2: Convert to fraction form
    161,965/348,534 = 348,534/x
  3. Step 3: Cross multiply
    161,965x = 348,534 × 348,534
  4. Step 4: Simplify right side
    161,965x = 121,475,949,156
  5. Step 5: Solve for x
    x = 121,475,949,156/161,965
  6. Step 6: Final answer
    x = 750,013.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.