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Finding the Third Proportional to 158,475 and 348,054

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Solution

The third proportional to 158,475 and 348,054 is: 764,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,475 : 348,054 = 348,054 : x
  2. Step 2: Convert to fraction form
    158,475/348,054 = 348,054/x
  3. Step 3: Cross multiply
    158,475x = 348,054 × 348,054
  4. Step 4: Simplify right side
    158,475x = 121,141,586,916
  5. Step 5: Solve for x
    x = 121,141,586,916/158,475
  6. Step 6: Final answer
    x = 764,420.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.