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Finding the Third Proportional to 158,066 and 342,364

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Solution

The third proportional to 158,066 and 342,364 is: 741,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,066 : 342,364 = 342,364 : x
  2. Step 2: Convert to fraction form
    158,066/342,364 = 342,364/x
  3. Step 3: Cross multiply
    158,066x = 342,364 × 342,364
  4. Step 4: Simplify right side
    158,066x = 117,213,108,496
  5. Step 5: Solve for x
    x = 117,213,108,496/158,066
  6. Step 6: Final answer
    x = 741,545.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.