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Finding the Third Proportional to 158,440 and 352,306

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Solution

The third proportional to 158,440 and 352,306 is: 783,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,440 : 352,306 = 352,306 : x
  2. Step 2: Convert to fraction form
    158,440/352,306 = 352,306/x
  3. Step 3: Cross multiply
    158,440x = 352,306 × 352,306
  4. Step 4: Simplify right side
    158,440x = 124,119,517,636
  5. Step 5: Solve for x
    x = 124,119,517,636/158,440
  6. Step 6: Final answer
    x = 783,384.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.