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Finding the Third Proportional to 158,416 and 230,490

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Solution

The third proportional to 158,416 and 230,490 is: 335,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,416 : 230,490 = 230,490 : x
  2. Step 2: Convert to fraction form
    158,416/230,490 = 230,490/x
  3. Step 3: Cross multiply
    158,416x = 230,490 × 230,490
  4. Step 4: Simplify right side
    158,416x = 53,125,640,100
  5. Step 5: Solve for x
    x = 53,125,640,100/158,416
  6. Step 6: Final answer
    x = 335,355.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.