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Finding the Third Proportional to 158,708 and 245,636

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Solution

The third proportional to 158,708 and 245,636 is: 380,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,708 : 245,636 = 245,636 : x
  2. Step 2: Convert to fraction form
    158,708/245,636 = 245,636/x
  3. Step 3: Cross multiply
    158,708x = 245,636 × 245,636
  4. Step 4: Simplify right side
    158,708x = 60,337,044,496
  5. Step 5: Solve for x
    x = 60,337,044,496/158,708
  6. Step 6: Final answer
    x = 380,176.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.