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Finding the Third Proportional to 160,125 and 348,438

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Solution

The third proportional to 160,125 and 348,438 is: 758,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,125 : 348,438 = 348,438 : x
  2. Step 2: Convert to fraction form
    160,125/348,438 = 348,438/x
  3. Step 3: Cross multiply
    160,125x = 348,438 × 348,438
  4. Step 4: Simplify right side
    160,125x = 121,409,039,844
  5. Step 5: Solve for x
    x = 121,409,039,844/160,125
  6. Step 6: Final answer
    x = 758,214.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.