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Finding the Third Proportional to 158,490 and 348,084

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Solution

The third proportional to 158,490 and 348,084 is: 764,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,490 : 348,084 = 348,084 : x
  2. Step 2: Convert to fraction form
    158,490/348,084 = 348,084/x
  3. Step 3: Cross multiply
    158,490x = 348,084 × 348,084
  4. Step 4: Simplify right side
    158,490x = 121,162,471,056
  5. Step 5: Solve for x
    x = 121,162,471,056/158,490
  6. Step 6: Final answer
    x = 764,480.23

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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.