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Finding the Third Proportional to 168,490 and 367,854

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Solution

The third proportional to 168,490 and 367,854 is: 803,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,490 : 367,854 = 367,854 : x
  2. Step 2: Convert to fraction form
    168,490/367,854 = 367,854/x
  3. Step 3: Cross multiply
    168,490x = 367,854 × 367,854
  4. Step 4: Simplify right side
    168,490x = 135,316,565,316
  5. Step 5: Solve for x
    x = 135,316,565,316/168,490
  6. Step 6: Final answer
    x = 803,113.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.