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Finding the Third Proportional to 174,988.69 and 361,018.69

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Solution

The third proportional to 174,988.69 and 361,018.69 is: 744,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,988.69 : 361,018.69 = 361,018.69 : x
  2. Step 2: Convert to fraction form
    174,988.69/361,018.69 = 361,018.69/x
  3. Step 3: Cross multiply
    174,988.69x = 361,018.69 × 361,018.69
  4. Step 4: Simplify right side
    174,988.69x = 130,334,492,724.22
  5. Step 5: Solve for x
    x = 130,334,492,724.22/174,988.69
  6. Step 6: Final answer
    x = 744,816.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.