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Finding the Third Proportional to 171,639 and 358,971.75

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Solution

The third proportional to 171,639 and 358,971.75 is: 750,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,639 : 358,971.75 = 358,971.75 : x
  2. Step 2: Convert to fraction form
    171,639/358,971.75 = 358,971.75/x
  3. Step 3: Cross multiply
    171,639x = 358,971.75 × 358,971.75
  4. Step 4: Simplify right side
    171,639x = 128,860,717,298.06
  5. Step 5: Solve for x
    x = 128,860,717,298.06/171,639
  6. Step 6: Final answer
    x = 750,765.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.