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Finding the Third Proportional to 174,582 and 278,937

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Solution

The third proportional to 174,582 and 278,937 is: 445,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,582 : 278,937 = 278,937 : x
  2. Step 2: Convert to fraction form
    174,582/278,937 = 278,937/x
  3. Step 3: Cross multiply
    174,582x = 278,937 × 278,937
  4. Step 4: Simplify right side
    174,582x = 77,805,849,969
  5. Step 5: Solve for x
    x = 77,805,849,969/174,582
  6. Step 6: Final answer
    x = 445,669.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.