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Finding the Third Proportional to 158,369 and 352,153

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Solution

The third proportional to 158,369 and 352,153 is: 783,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,369 : 352,153 = 352,153 : x
  2. Step 2: Convert to fraction form
    158,369/352,153 = 352,153/x
  3. Step 3: Cross multiply
    158,369x = 352,153 × 352,153
  4. Step 4: Simplify right side
    158,369x = 124,011,735,409
  5. Step 5: Solve for x
    x = 124,011,735,409/158,369
  6. Step 6: Final answer
    x = 783,055.62

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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.