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Finding the Third Proportional to 174,937 and 278,495

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Solution

The third proportional to 174,937 and 278,495 is: 443,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,937 : 278,495 = 278,495 : x
  2. Step 2: Convert to fraction form
    174,937/278,495 = 278,495/x
  3. Step 3: Cross multiply
    174,937x = 278,495 × 278,495
  4. Step 4: Simplify right side
    174,937x = 77,559,465,025
  5. Step 5: Solve for x
    x = 77,559,465,025/174,937
  6. Step 6: Final answer
    x = 443,356.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.