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Finding the Third Proportional to 158,868 and 234,605

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Solution

The third proportional to 158,868 and 234,605 is: 346,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,868 : 234,605 = 234,605 : x
  2. Step 2: Convert to fraction form
    158,868/234,605 = 234,605/x
  3. Step 3: Cross multiply
    158,868x = 234,605 × 234,605
  4. Step 4: Simplify right side
    158,868x = 55,039,506,025
  5. Step 5: Solve for x
    x = 55,039,506,025/158,868
  6. Step 6: Final answer
    x = 346,448.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.